Acknowledgments |
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xvi | |
Introduction |
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1 | (4) |
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5 | (140) |
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7 | (3) |
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10 | (11) |
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10 | (1) |
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11 | (1) |
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12 | (1) |
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13 | (1) |
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14 | (1) |
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15 | (2) |
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17 | (2) |
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19 | (2) |
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3 Begriffsschrift I: Foundations of Logic |
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21 | (11) |
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The aim of the concept-script |
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21 | (1) |
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22 | (2) |
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24 | (1) |
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Axioms, basic laws and rules |
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25 | (2) |
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Tone and conceptual content |
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27 | (1) |
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28 | (2) |
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30 | (2) |
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4 Begriffsschrift II: Prepositional Logic |
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32 | (5) |
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32 | (1) |
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33 | (2) |
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35 | (2) |
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5 Begriffsschrift III: Quantification |
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37 | (7) |
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37 | (3) |
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40 | (2) |
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42 | (2) |
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6 Begriffsschrift IV: Identity |
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44 | (4) |
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44 | (1) |
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44 | (3) |
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47 | (1) |
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7 Begriffsschrift V: The Ancestral |
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48 | (4) |
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48 | (2) |
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50 | (1) |
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50 | (2) |
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8 Early Philosophy of Logic |
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52 | (7) |
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Psychologism and empiricism |
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52 | (1) |
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53 | (2) |
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Defining the scope of logic |
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55 | (1) |
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56 | (3) |
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59 | (6) |
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59 | (1) |
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60 | (1) |
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61 | (2) |
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63 | (2) |
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10 Grundlagen I: The Context Principle |
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65 | (5) |
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65 | (2) |
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67 | (1) |
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68 | (2) |
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11 Grundlagen II: Arithmetical Truth |
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70 | (6) |
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70 | (1) |
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71 | (1) |
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72 | (2) |
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74 | (2) |
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12 Grundlagen III: Numbers |
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76 | (8) |
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76 | (2) |
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Numbers as non-linguistic |
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78 | (1) |
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78 | (1) |
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Numbers as self-subsistent |
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79 | (1) |
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79 | (2) |
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81 | (1) |
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82 | (1) |
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83 | (1) |
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13 Grundlagen IV: The Formal Project |
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84 | (8) |
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Numerically definite quantifiers |
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85 | (1) |
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85 | (1) |
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86 | (1) |
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87 | (1) |
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The Julius Caesar problem again |
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88 | (1) |
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89 | (3) |
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14 Sense and Reference I: Singular Terms |
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92 | (8) |
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Rejection of the Begriffsschrift theory |
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92 | (1) |
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The sense of a singular term |
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93 | (2) |
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95 | (1) |
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Internalist and externalist conceptions of sense |
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96 | (4) |
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15 Sense and Reference II: Sentences |
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100 | (6) |
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The reference of a sentence |
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100 | (2) |
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102 | (2) |
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104 | (2) |
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16 Sense and Reference III: Concept-Words |
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106 | (5) |
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106 | (1) |
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107 | (2) |
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109 | (2) |
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111 | (7) |
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111 | (1) |
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112 | (2) |
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Wittgenstein's objection again |
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114 | (1) |
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115 | (3) |
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18 Grundgesetze II: Extensions |
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118 | (6) |
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Extensions and value-ranges |
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118 | (1) |
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119 | (2) |
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121 | (1) |
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122 | (2) |
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19 The Frege-Hilbert Correspondence |
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124 | (9) |
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The Foundations of Geometry |
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124 | (1) |
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125 | (2) |
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127 | (1) |
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Existence and consistency |
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128 | (2) |
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130 | (3) |
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133 | (7) |
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The structure of the realm of reference |
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134 | (1) |
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135 | (1) |
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136 | (1) |
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137 | (1) |
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138 | (2) |
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140 | (5) |
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140 | (1) |
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141 | (2) |
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143 | (2) |
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145 | (168) |
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147 | (4) |
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151 | (4) |
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151 | (2) |
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153 | (2) |
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155 | (9) |
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155 | (2) |
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First deduction of metric geometry |
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157 | (1) |
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Second deduction of metric geometry |
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158 | (2) |
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160 | (1) |
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160 | (1) |
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Deduction of descriptive geometry |
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161 | (2) |
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163 | (1) |
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164 | (4) |
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165 | (1) |
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The paradoxes of relativity |
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166 | (2) |
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168 | (6) |
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169 | (2) |
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171 | (1) |
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172 | (2) |
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174 | (5) |
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174 | (2) |
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A single paradox of relativity |
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176 | (1) |
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177 | (2) |
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179 | (9) |
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The existential theory of judgment |
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179 | (2) |
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181 | (2) |
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The refutation of idealism |
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183 | (1) |
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184 | (1) |
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185 | (3) |
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188 | (7) |
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Analyticity and necessity |
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188 | (2) |
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190 | (2) |
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The paradox of relativity resolved |
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192 | (1) |
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Matter and position again |
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193 | (2) |
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195 | (6) |
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196 | (1) |
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196 | (1) |
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The 1900 draft of the Principles |
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197 | (1) |
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198 | (3) |
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201 | (6) |
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201 | (2) |
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203 | (2) |
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205 | (2) |
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207 | (6) |
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207 | (2) |
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Indefinite denoting concepts |
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209 | (1) |
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Definite denoting concepts |
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210 | (1) |
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211 | (2) |
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213 | (5) |
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213 | (1) |
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214 | (2) |
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216 | (2) |
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218 | (10) |
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The Gray's Elegy argument |
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218 | (2) |
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220 | (1) |
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The new theory of denoting phrases |
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220 | (1) |
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221 | (2) |
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223 | (1) |
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224 | (2) |
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The substitutional theory |
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226 | (2) |
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228 | (7) |
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228 | (2) |
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230 | (1) |
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231 | (1) |
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The correspondence theory |
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232 | (3) |
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235 | (8) |
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The hierarchy of propositional functions |
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235 | (3) |
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The axiom of reducibility |
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238 | (2) |
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240 | (3) |
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243 | (8) |
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243 | (2) |
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The vicious circle principle |
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245 | (1) |
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The universality of logic |
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246 | (1) |
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247 | (1) |
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248 | (2) |
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250 | (1) |
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251 | (7) |
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251 | (2) |
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253 | (1) |
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254 | (1) |
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255 | (1) |
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256 | (2) |
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258 | (7) |
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258 | (1) |
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Inference and construction |
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259 | (2) |
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261 | (1) |
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262 | (3) |
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265 | (9) |
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The 1906 theory and the Frege point |
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265 | (1) |
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The 1909 theory and the ontology of the Introduction |
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266 | (1) |
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The 1911 theory and the direction problem |
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267 | (1) |
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The 1913 theory and the verb |
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268 | (1) |
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269 | (1) |
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270 | (1) |
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271 | (3) |
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274 | (8) |
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275 | (1) |
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276 | (1) |
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277 | (1) |
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278 | (1) |
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279 | (3) |
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282 | (8) |
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The subject matter of logic |
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282 | (2) |
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284 | (2) |
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Propositions are not names |
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286 | (1) |
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287 | (1) |
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288 | (2) |
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290 | (7) |
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290 | (1) |
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291 | (1) |
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292 | (2) |
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294 | (3) |
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297 | (6) |
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297 | (2) |
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299 | (1) |
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The inference from percepts to events |
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300 | (1) |
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301 | (2) |
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303 | (10) |
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The demise of absolute idealism |
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303 | (1) |
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The external world programme |
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304 | (1) |
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305 | (1) |
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306 | (1) |
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307 | (1) |
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Ordinary language philosophy |
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308 | (4) |
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312 | (1) |
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313 | (104) |
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315 | (4) |
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319 | (4) |
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319 | (2) |
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321 | (1) |
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322 | (1) |
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323 | (5) |
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323 | (2) |
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325 | (1) |
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Relative inexpressibility |
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325 | (1) |
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326 | (2) |
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328 | (7) |
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328 | (1) |
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329 | (2) |
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331 | (1) |
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Wittgenstein's context principle |
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332 | (3) |
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335 | (5) |
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335 | (1) |
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Tautology and contradiction |
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336 | (1) |
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337 | (2) |
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The general form of proposition |
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339 | (1) |
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51 Wittgenstein's Concept-Script |
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340 | (7) |
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341 | (1) |
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341 | (1) |
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342 | (1) |
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343 | (1) |
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344 | (1) |
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Wittgenstein's vicious circle principle |
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345 | (2) |
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347 | (8) |
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Simplicity and elementary propositions |
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347 | (2) |
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The argument for substance |
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349 | (2) |
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351 | (1) |
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351 | (2) |
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353 | (2) |
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355 | (5) |
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355 | (1) |
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356 | (2) |
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358 | (2) |
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360 | (4) |
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The argument for solipsism |
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360 | (1) |
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361 | (3) |
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364 | (4) |
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364 | (1) |
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365 | (1) |
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366 | (2) |
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368 | (6) |
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368 | (1) |
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369 | (2) |
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371 | (1) |
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372 | (2) |
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374 | (4) |
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The propositions of logic |
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374 | (2) |
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376 | (2) |
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58 The Metaphysical Subject |
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378 | (6) |
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The eye and the visual field |
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379 | (1) |
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380 | (1) |
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381 | (3) |
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384 | (4) |
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384 | (2) |
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386 | (2) |
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388 | (4) |
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388 | (1) |
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389 | (1) |
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The independence of the will |
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390 | (2) |
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392 | (6) |
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393 | (1) |
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394 | (1) |
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395 | (1) |
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396 | (2) |
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398 | (10) |
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398 | (2) |
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400 | (1) |
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401 | (1) |
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402 | (3) |
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405 | (1) |
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406 | (2) |
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63 The Legacy of the Tractatus |
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408 | (9) |
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The independence of elementary propositions |
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409 | (1) |
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410 | (1) |
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411 | (1) |
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412 | (2) |
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414 | (3) |
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417 | (56) |
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419 | (4) |
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423 | (8) |
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423 | (1) |
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424 | (2) |
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Expressing and describing |
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426 | (2) |
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428 | (3) |
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431 | (4) |
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431 | (2) |
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433 | (1) |
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434 | (1) |
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67 The Foundations of Mathematics I: Types |
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435 | (5) |
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Ramsey's simple hierarchy |
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435 | (2) |
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437 | (1) |
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A transcendental argument |
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438 | (2) |
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68 The Foundations of Mathematics II: Logicism |
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440 | (5) |
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Propositional functions in extension |
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440 | (2) |
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Wittgenstein's objections |
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442 | (1) |
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The demise of the transcendental argument |
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443 | (2) |
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445 | (5) |
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445 | (1) |
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446 | (1) |
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447 | (1) |
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Unigrade and multigrade terms |
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448 | (2) |
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450 | (8) |
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450 | (1) |
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451 | (1) |
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452 | (2) |
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454 | (1) |
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Degrees of belief and frequencies |
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455 | (1) |
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Partial belief and desire |
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456 | (2) |
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71 Facts and Propositions |
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458 | (4) |
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458 | (2) |
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Partial belief and chickens |
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460 | (2) |
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462 | (6) |
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462 | (1) |
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463 | (2) |
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465 | (1) |
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465 | (3) |
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468 | (5) |
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468 | (2) |
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470 | (1) |
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471 | (2) |
Bibliography |
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473 | (20) |
Index |
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493 | |