Combining Philosophers

All the ideas for William W. Tait, Eurytus and Kent Bach

expand these ideas     |    start again     |     specify just one area for these philosophers


34 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic at least allows empty names, but struggles to express non-existence [Bach]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
In first-order we can't just assert existence, and it is very hard to deny something's existence [Bach]
5. Theory of Logic / E. Structures of Logic / 3. Constants in Logic
In logic constants play the role of proper names [Bach]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Proper names can be non-referential - even predicate as well as attributive uses [Bach]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Millian names struggle with existence, empty names, identities and attitude ascription [Bach]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / a. Descriptions
An object can be described without being referred to [Bach]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Definite descriptions can be used to refer, but are not semantically referential [Bach]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
How could 'S knows he has hands' not have a fixed content? [Bach]
If contextualism is right, knowledge sentences are baffling out of their context [Bach]
Sceptics aren't changing the meaning of 'know', but claiming knowing is tougher than we think [Bach]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
If abstraction produces power sets, their identity should imply identity of the originals [Tait]
19. Language / B. Reference / 1. Reference theories
Fictional reference is different inside and outside the fiction [Bach]
We can refer to fictional entities if they are abstract objects [Bach]
You 'allude to', not 'refer to', an individual if you keep their identity vague [Bach]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
What refers: indefinite or definite or demonstrative descriptions, names, indexicals, demonstratives? [Bach]
If we can refer to things which change, we can't be obliged to single out their properties [Bach]
We can think of an individual without have a uniquely characterizing description [Bach]
It can't be real reference if it could refer to some other thing that satisfies the description [Bach]
Since most expressions can be used non-referentially, none of them are inherently referential [Bach]
Just alluding to or describing an object is not the same as referring to it [Bach]
19. Language / B. Reference / 5. Speaker's Reference
Context does not create reference; it is just something speakers can exploit [Bach]
'That duck' may not refer to the most obvious one in the group [Bach]
What a pronoun like 'he' refers back to is usually a matter of speaker's intentions [Bach]
Information comes from knowing who is speaking, not just from interpretation of the utterance [Bach]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
People slide from contextual variability all the way to contextual determination [Bach]
27. Natural Reality / G. Biology / 1. Biology
Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]