Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Philosophy of Language' and 'The Foundations of Mathematics'

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19 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
7. Existence / A. Nature of Existence / 5. Reason for Existence
Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
The actual universe is the richest composite of what is possible [Leibniz]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
The truth conditions theory sees meaning as representation [Lycan]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Meaning must be known before we can consider verification [Lycan]
19. Language / A. Nature of Meaning / 6. Meaning as Use
It is hard to state a rule of use for a proper name [Lycan]
Could I successfully use an expression, without actually understanding it? [Lycan]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan]
Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan]