Combining Texts

All the ideas for 'Universals', 'Intuitionism and Formalism' and 'Contextualism Defended (and reply)'

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24 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
One moderate nominalist view says that properties and relations exist, but they are particulars [Armstrong]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
If properties and relations are particulars, there is still the problem of how to classify and group them [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
Should we decide which universals exist a priori (through words), or a posteriori (through science)? [Armstrong]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
It is claimed that some universals are not exemplified by any particular, so must exist separately [Armstrong]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
'Resemblance Nominalism' finds that in practice the construction of resemblance classes is hard [Armstrong]
'Resemblance Nominalism' says properties are resemblances between classes of particulars [Armstrong]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
'Predicate Nominalism' says that a 'universal' property is just a predicate applied to lots of things [Armstrong]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Concept and predicate nominalism miss out some predicates, and may be viciously regressive [Armstrong]
'Concept Nominalism' says a 'universal' property is just a mental concept applied to lots of things [Armstrong]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
'Class Nominalism' may explain properties if we stick to 'natural' sets, and ignore random ones [Armstrong]
'Class Nominalism' says that properties or kinds are merely membership of a set (e.g. of white things) [Armstrong]
'Class Nominalism' cannot explain co-extensive properties, or sets with random members [Armstrong]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
'Mereological Nominalism' sees whiteness as a huge white object consisting of all the white things [Armstrong]
'Mereological Nominalism' may work for whiteness, but it doesn't seem to work for squareness [Armstrong]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
Our own intuitions about whether we know tend to vacillate [Cohen,S]
We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S]
The context sensitivity of knowledge derives from its justification [Cohen,S]
Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]