Combining Texts

All the ideas for 'Through the Looking Glass', 'Knowledge, Possibility and Consciousness' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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27 ideas

2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Truth has to be correspondence to facts, and a match between relations of ideas and relations in the world [Perry]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity is a very weak relation, which doesn't require interdefinability, or shared properties [Perry]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Possible worlds thinking has clarified the logic of modality, but is problematic in epistemology [Perry]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Possible worlds are indices for a language, or concrete realities, or abstract possibilities [Perry]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
We try to cause other things to occur by causing mental events to occur [Perry]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Brain states must be in my head, and yet the pain seems to be in my hand [Perry]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
It seems plausible that many animals have experiences without knowing about them [Perry]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
If epiphenomenalism just says mental events are effects but not causes, it is consistent with physicalism [Perry]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Prior to Kripke, the mind-brain identity theory usually claimed that the identity was contingent [Perry]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If physicalists stick with identity (not supervenience), Martian pain will not be like ours [Perry]
18. Thought / C. Content / 1. Content
Although we may classify ideas by content, we individuate them differently, as their content can change [Perry]
18. Thought / C. Content / 8. Intension
The intension of an expression is a function from possible worlds to an appropriate extension [Perry]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
A proposition is a set of possible worlds for which its intension delivers truth [Perry]
19. Language / E. Analyticity / 3. Analytic and Synthetic
A sharp analytic/synthetic line can rarely be drawn, but some concepts are central to thought [Perry]