Combining Texts

All the ideas for 'Science and Method', 'Representation and Reality' and 'Plurals and Complexes'

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44 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]
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 / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
7. Existence / D. Theories of Reality / 2. Realism
Realists believe truth is correspondence, independent of humans, is bivalent, and is unique [Putnam]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
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]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
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 / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
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]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
"Water" is a natural kind term, but "H2O" is a description [Putnam]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]