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Ideas of Frank P. Ramsey, by Text
[British, 1903 - 1930, Cambridge University. Exceptional philosopher who died very young]
1925
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The Foundations of Mathematics
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§1
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p.165
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13425
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Formalism is hopeless, because it focuses on propositions and ignores concepts
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§1
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p.168
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13426
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Formalists neglect content, but the logicists have focused on generalizations, and neglected form
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§1
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p.179
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13427
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Either 'a = b' vacuously names the same thing, or absurdly names different things
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§2
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p.191
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13428
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Reducibility: to every non-elementary function there is an equivalent elementary function
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§5
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p.222
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13430
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Infinity: there is an infinity of distinguishable individuals
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p.171
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p.26
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13334
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Contradictions are either purely logical or mathematical, or they involved thought and language
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p.202
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p.456
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22328
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I just confront the evidence, and let it act on me
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p.258
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p.431
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22325
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A belief is knowledge if it is true, certain and obtained by a reliable process
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p.12
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p.12
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8494
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Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact
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p.13
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p.13
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8495
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The distinction between particulars and universals is a mistake made because of language
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p.8
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p.8
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8493
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We could make universals collections of particulars, or particulars collections of their qualities
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1926
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Truth and Probability
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p.32
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19143
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Ramsey gave axioms for an uncertain agent to decide their preferences [Davidson]
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p.396
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13766
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'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey]
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1927
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Facts and Propositions
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p.16
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3750
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"It is true that x" means no more than x
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p.51
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p.102
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18818
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Sentence meaning is given by the actions to which it would lead
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p.74
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10993
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Ramsey's Test: believe the consequent if you believe the antecedent [Read]
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p.469
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6894
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Mental terms can be replaced in a sentence by a variable and an existential quantifier
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§A
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p.143
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9418
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All knowledge needs systematizing, and the axioms would be the laws of nature
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§B
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p.150
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9420
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Causal laws result from the simplest axioms of a complete deductive system
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B 155 n
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p.155
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14279
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Asking 'If p, will q?' when p is uncertain, then first add p hypothetically to your knowledge
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p.31
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6409
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The 'simple theory of types' distinguishes levels among properties [Grayling]
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p.259
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3212
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Beliefs are maps by which we steer
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p.176
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19724
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Belief is knowledge if it is true, certain, and obtained by a reliable process
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