Combining Texts

All the ideas for 'Semantics, Conceptual Role', 'Reason, Truth and History' and 'Mathematics is Megethology'

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34 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
For ancient Greeks being wise was an ethical value [Putnam]
3. Truth / A. Truth Problems / 1. Truth
Putnam's epistemic notion of truth replaces the realism of correspondence with ontological relativism [Putnam, by O'Grady]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Before Kant, all philosophers had a correspondence theory of truth [Putnam]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The correspondence theory is wrong, because there is no one correspondence between reality and fact [Putnam, by O'Grady]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Truth is an idealisation of rational acceptability [Putnam]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism
Intension is not meaning, as 'cube' and 'square-faced polyhedron' are intensionally the same [Putnam]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
If cats equal cherries, model theory allows reinterpretation of the whole language preserving truth [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
7. Existence / D. Theories of Reality / 4. Anti-realism
If we try to cure the abundance of theories with causal links, this is 'just more theory' [Putnam, by Lewis]
The sentence 'A cat is on a mat' remains always true when 'cat' means cherry and 'mat' means tree [Putnam]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
A fact is simply what it is rational to accept [Putnam]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Very nominalistic philosophers deny properties, though scientists accept them [Putnam]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
10. Modality / A. Necessity / 11. Denial of Necessity
If necessity is always relative to a description in a language, then there is only 'de dicto' necessity [Putnam, by O'Grady]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Some kind of objective 'rightness' is a presupposition of thought itself [Putnam]
14. Science / B. Scientific Theories / 3. Instrumentalism
Naïve operationalism would have meanings change every time the tests change [Putnam]
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
Rationality is one part of our conception of human flourishing [Putnam]
18. Thought / C. Content / 5. Twin Earth
'Water' on Twin Earth doesn't refer to water, but no mental difference can account for this [Putnam]
18. Thought / C. Content / 6. Broad Content
Reference is social not individual, because we defer to experts when referring to elm trees [Putnam]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Concepts are (at least in part) abilities and not occurrences [Putnam]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
The meaning of a representation is its role in thought, perception or decisions [Block]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
Neither individual nor community mental states fix reference [Putnam]
Maybe the total mental state of a language community fixes the reference of a term [Putnam]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
There are infinitely many interpretations of a sentence which can all seem to be 'correct' [Putnam]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
The word 'inconsiderate' nicely shows the blurring of facts and values [Putnam]