Combining Texts

All the ideas for 'Commentary on 'Posterior Analytics'', 'Coherence: The Price is Right' and 'The Limits of Abstraction'

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19 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Coherence problems have positive and negative restraints; solutions maximise constraint satisfaction [Thagard]
Coherence is explanatory, deductive, conceptual, analogical, perceptual, and deliberative [Thagard]
Explanatory coherence needs symmetry,explanation,analogy,data priority, contradiction,competition,acceptance [Thagard]
2. Reason / D. Definition / 3. Types of Definition
Implicit definitions must be satisfiable, creative definitions introduce things, contextual definitions build on things [Fine,K, by Cook/Ebert]
'Creative definitions' do not presuppose the existence of the objects defined [Fine,K]
3. Truth / A. Truth Problems / 6. Verisimilitude
Verisimilitude comes from including more phenomena, and revealing what underlies [Thagard]
7. Existence / A. Nature of Existence / 4. Abstract Existence
Abstracts cannot be identified with sets [Fine,K]
Points in Euclidean space are abstract objects, but not introduced by abstraction [Fine,K]
Postulationism says avoid abstract objects by giving procedures that produce truth [Fine,K]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
By comparing qualities and features, reason can gradually infer the nature of substance [Grosseteste]
14. Science / B. Scientific Theories / 1. Scientific Theory
Neither a priori rationalism nor sense data empiricism account for scientific knowledge [Thagard]
14. Science / C. Induction / 6. Bayes's Theorem
Bayesian inference is forced to rely on approximations [Thagard]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
The best theory has the highest subjective (Bayesian) probability? [Thagard]
18. Thought / E. Abstraction / 1. Abstract Thought
Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
We can abstract from concepts (e.g. to number) and from objects (e.g. to direction) [Fine,K]
Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert]
Abstractionism can be regarded as an alternative to set theory [Fine,K]
An object is the abstract of a concept with respect to a relation on concepts [Fine,K]