Combining Texts

All the ideas for 'fragments/reports', 'Elements of Geometry' and 'Representation and Reality'

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35 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
The job of the philosopher is to distinguish facts about the world from conventions [Putnam]
2. Reason / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Semantic notions do not occur in Tarski's definitions, but assessing their correctness involves translation [Putnam]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
Asserting the truth of an indexical statement is not the same as uttering the statement [Putnam]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
7. Existence / D. Theories of Reality / 2. Realism
Realists believe truth is correspondence, independent of humans, is bivalent, and is unique [Putnam]
9. Objects / A. Existence of Objects / 1. Physical Objects
Aristotle says an object (e.g. a lamp) has identity if its parts stay together when it is moved [Putnam]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Functionalism says robots and people are the same at one level of abstraction [Putnam]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
If concepts have external meaning, computational states won't explain psychology [Putnam]
Functionalism can't explain reference and truth, which are needed for logic [Putnam]
Is there just one computational state for each specific belief? [Putnam]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
If we are going to eliminate folk psychology, we must also eliminate folk logic [Putnam]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Can we give a scientific, computational account of folk psychology? [Putnam]
18. Thought / C. Content / 5. Twin Earth
Reference may be different while mental representation is the same [Putnam]
19. Language / A. Nature of Meaning / 1. Meaning
Meaning and translation (which are needed to define truth) both presuppose the notion of reference [Putnam]
19. Language / A. Nature of Meaning / 6. Meaning as Use
"Meaning is use" is not a definition of meaning [Putnam]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Holism seems to make fixed definition more or less impossible [Putnam]
Meaning holism tried to show that you can't get fixed meanings built out of observation terms [Putnam]
Understanding a sentence involves background knowledge and can't be done in isolation [Putnam]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
We should separate how the reference of 'gold' is fixed from its conceptual content [Putnam]
Like names, natural kind terms have their meaning fixed by extension and reference [Putnam]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
Reference (say to 'elms') is a social phenomenon which we can leave to experts [Putnam]
Aristotle implies that we have the complete concepts of a language in our heads, but we don't [Putnam]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
"Water" is a natural kind term, but "H2O" is a description [Putnam]