Combining Texts

All the ideas for 'Defending the Axioms', 'Formal and Material Consequence' and 'Subjective View: sec qualities and indexicals'

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33 ideas

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 / A. Overview of Logic / 4. Pure Logic
If logic is topic-neutral that means it delves into all subjects, rather than having a pure subject matter [Read]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read]
If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read]
Maybe arguments are only valid when suppressed premises are all stated - but why? [Read]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read]
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 / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical connectives contain no information, but just record combination relations between facts [Read]
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]
7. Existence / D. Theories of Reality / 2. Realism
To explain object qualities, primary qualities must be more than mere sources of experience [McGinn]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Conditionals are just a shorthand for some proof, leaving out the details [Read]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Being red simply consists in looking red [McGinn]
Relativity means differing secondary perceptions are not real disagreements [McGinn]
Phenomenalism is correct for secondary qualities, so scepticism is there impossible [McGinn]
Maybe all possible sense experience must involve both secondary and primary qualities [McGinn]
You understood being red if you know the experience involved; not so with thngs being square [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
You don't need to know how a square thing looks or feels to understand squareness [McGinn]
Touch doesn't provide direct experience of primary qualities, because touch feels temperature [McGinn]
We can perceive objectively, because primary qualities are not mind-created [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Lockean secondary qualities (unlike primaries) produce particular sensory experiences [McGinn]
Could there be a mind which lacked secondary quality perception? [McGinn]
Secondary qualities contain information; their variety would be superfluous otherwise [McGinn]
The utility theory says secondary qualities give information useful to human beings [McGinn]
12. Knowledge Sources / B. Perception / 3. Representation
We see objects 'directly' by representing them [McGinn]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexical thought is in relation to my self-consciousness [McGinn]
Indexicals do not figure in theories of physics, because they are not explanatory causes [McGinn]
The indexical perspective is subjective, incorrigible and constant [McGinn]
Indexical concepts are indispensable, as we need them for the power to act [McGinn]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
I can know indexical truths a priori, unlike their non-indexical paraphrases [McGinn]