Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'A Study of Concepts' and 'Defending the Axioms'

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21 ideas

2. Reason / D. Definition / 13. Against Definition
Most people can't even define a chair [Peacocke]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
12. Knowledge Sources / B. Perception / 1. Perception
Perceptual concepts causally influence the content of our experiences [Peacocke]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Perception has proto-propositions, between immediate experience and concepts [Peacocke]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Consciousness of a belief isn't a belief that one has it [Peacocke]
18. Thought / D. Concepts / 1. Concepts / b. Concepts in philosophy
Philosophy should merely give necessary and sufficient conditions for concept possession [Peacocke, by Machery]
Peacocke's account of possession of a concept depends on one view of counterfactuals [Peacocke, by Machery]
Peacocke's account separates psychology from philosophy, and is very sketchy [Machery on Peacocke]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Possessing a concept is being able to make judgements which use it [Peacocke]
A concept is just what it is to possess that concept [Peacocke]
Employing a concept isn't decided by introspection, but by making judgements using it [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
An analysis of concepts must link them to something unconceptualized [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
Concepts are constituted by their role in a group of propositions to which we are committed [Peacocke, by Greco]
19. Language / B. Reference / 1. Reference theories
A concept's reference is what makes true the beliefs of its possession conditions [Peacocke, by Horwich]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]