Combining Texts

All the ideas for '', 'Counting and the Natural Numbers' and 'The Web of Belief'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis

8460	Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian]

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

11211

If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11212

The sense of a connective comes from primitively obvious rules of inference [Rumfitt]

11210

Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

19. Language / F. Communication / 3. Denial

11214

We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]