Ideas of Frank P. Ramsey, by Theme
[British, 1903 - 1930, Cambridge University. Exceptional philosopher who died very young]
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3. Truth / H. Deflationary Truth / 1. Redundant Truth
3750
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"It is true that x" means no more than x
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13430
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Infinity: there is an infinity of distinguishable individuals
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
13428
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Reducibility: to every non-elementary function there is an equivalent elementary function
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5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13427
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Either 'a = b' vacuously names the same thing, or absurdly names different things
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5. Theory of Logic / L. Paradox / 1. Paradox
13334
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Contradictions are either purely logical or mathematical, or they involved thought and language
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
6409
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The 'simple theory of types' distinguishes levels among properties [Grayling]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
13426
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Formalists neglect content, but the logicists have focused on generalizations, and neglected form
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
13425
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Formalism is hopeless, because it focuses on propositions and ignores concepts
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8. Modes of Existence / D. Universals / 1. Universals
8495
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The distinction between particulars and universals is a mistake made because of language
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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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8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
8494
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Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact
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10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
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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10993
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Ramsey's Test: believe the consequent if you believe the antecedent [Read]
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10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
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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11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
3212
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Beliefs are maps by which we steer
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11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
22328
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I just confront the evidence, and let it act on me
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13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
22325
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A belief is knowledge if it is true, certain and obtained by a reliable process
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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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14. Science / B. Scientific Theories / 8. Ramsey Sentences
6894
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Mental terms can be replaced in a sentence by a variable and an existential quantifier
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14. Science / C. Induction / 6. Bayes's Theorem
19143
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Ramsey gave axioms for an uncertain agent to decide their preferences [Davidson]
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19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
18818
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Sentence meaning is given by the actions to which it would lead
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26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
9418
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All knowledge needs systematizing, and the axioms would be the laws of nature
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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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