Combining Texts

All the ideas for 'The Concept of Logical Consequence', 'In Defense of a Dogma' and 'Isolation and Non-arbitrary Division'

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10 ideas

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

18812

Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt]

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

13344

X follows from sentences K iff every model of K also models X [Tarski]

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

13343

A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units

17435

Objects do not naturally form countable units [Koslicki]

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

17433

We can still count squares, even if they overlap [Koslicki]

17439

There is no deep reason why we count carrots but not asparagus [Koslicki]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

17434

We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]

7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff

17436

We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki]

19. Language / A. Nature of Meaning / 8. Synonymy

7319	If we give up synonymy, we have to give up significance, meaning and sense [Grice/Strawson]

19. Language / E. Analyticity / 1. Analytic Propositions

13345

Sentences are 'analytical' if every sequence of objects models them [Tarski]