Combining Texts

All the ideas for 'fragments/reports', 'The Logical Syntax of Language' and 'The Philosophy of Logic'

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8 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

13342

Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]

5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention

13251

Each person is free to build their own logic, just by specifying a syntax [Carnap]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

18200

Very large sets should be studied in an 'if-then' spirit [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18199

Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]

8857	We must quantify over numbers for science; but that commits us to their existence [Putnam]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature

6000	The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]

22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good

5999	The good is what is perfect by nature [Diogenes of Babylon, by Blank]

23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice

6001	Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]