Combining Texts

All the ideas for ''Ostrich Nominalism' or 'Mirage Realism'?st1=Michael Devitt', 'Commentary on Euclid's 'Elements'' and 'works'

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

---

10 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

11022

Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]

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

11065

The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]

11023

The logical connectives are 'defined' by their introduction rules [Gentzen]

11213

Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

8. Modes of Existence / D. Universals / 1. Universals

8502	Realism doesn't explain 'a is F' any further by saying it is 'a has F-ness' [Devitt]

8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals

8503	The particular/universal distinction is unhelpful clutter; we should accept 'a is F' as basic [Devitt]

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta

8501	Quineans take predication about objects as basic, not reference to properties they may have [Devitt]

14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations

13165

Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]

18. Thought / E. Abstraction / 1. Abstract Thought

9569	The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]