Combining Texts

All the ideas for 'Aristotle and Descartes on Matter', 'Logical Consequence' and 'Letters to Jourdain'

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13 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Validity is explained as truth in all models, because that relies on the logical terms [McGee]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural language includes connectives like 'because' which are not truth-functional [McGee]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
In 'Etna is higher than Vesuvius' the whole of Etna, including all the lava, can't be the reference [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Any object can have many different names, each with a distinct sense [Frege]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order variables need to range over more than collections of first-order objects [McGee]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
An ontologically secure semantics for predicate calculus relies on sets [McGee]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
5. Theory of Logic / K. Features of Logics / 3. Soundness
Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
We understand new propositions by constructing their sense from the words [Frege]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Senses can't be subjective, because propositions would be private, and disagreement impossible [Frege]
19. Language / F. Communication / 2. Assertion
A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter is nothing when it is at rest [Leibniz]