Combining Texts

All the ideas for 'The Coherence Theory of Truth', 'Elements of Set Theory' and 'Aristotelian commentaries'

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


19 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
For idealists reality is like a collection of beliefs, so truths and truthmakers are not distinct [Young,JO]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Coherence theories differ over the coherence relation, and over the set of proposition with which to cohere [Young,JO]
Two propositions could be consistent with your set, but inconsistent with one another [Young,JO]
Coherence with actual beliefs, or our best beliefs, or ultimate ideal beliefs? [Young,JO]
Coherent truth is not with an arbitrary set of beliefs, but with a set which people actually do believe [Young,JO]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
How do you identify the best coherence set; and aren't there truths which don't cohere? [Young,JO]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationary theories reject analysis of truth in terms of truth-conditions [Young,JO]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton]
The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton]
A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton]
The empty set may look pointless, but many sets can be constructed from it [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The singleton is defined using the pairing axiom (as {x,x}) [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
We can only define functions if Choice tells us which items are involved [Enderton]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Unity by aggregation, order, inherence, composition, and simplicity [Conimbricense, by Pasnau]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Secondary qualities come from temperaments and proportions of primary qualities [Conimbricense]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Are truth-condtions other propositions (coherence) or features of the world (correspondence)? [Young,JO]
Coherence truth suggests truth-condtions are assertion-conditions, which need knowledge of justification [Young,JO]