Combining Philosophers

All the ideas for Charles Darwin, W Kneale / M Kneale and Dag Prawitz

expand these ideas     |    start again     |     specify just one area for these philosophers

---

7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

10051

The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]

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

13831

Logic is based on transitions between sentences [Prawitz]

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

13827

Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]

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

13825

Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

13823

In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]

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

13826

Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]

14. Science / D. Explanation / 3. Best Explanation / a. Best explanation

16861

A false theory could hardly rival the explanatory power of natural selection [Darwin]