Combining Texts

All the ideas for 'fragments/reports', 'Mathematics is Megethology' and 'Meinong on Complexes and Assumptions'

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

27 ideas

2. Reason / C. Styles of Reason / 1. Dialectic
20768 Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius]
3. Truth / B. Truthmakers / 6. Making Negative Truths
21544 It seems that when a proposition is false, something must fail to subsist [Russell]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10807 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
10809 We can accept the null set, but not a null class, a class lacking members [Lewis]
10812 The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
10811 The null set plays the role of last resort, for class abstracts and for existence [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
10813 What on earth is the relationship between a singleton and an element? [Lewis]
10814 Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10806 Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
21539 Excluded middle can be stated psychologically, as denial of p implies assertion of not-p [Russell]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
10816 We can use mereology to simulate quantification over relations [Lewis]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
10808 Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10815 We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
7. Existence / D. Theories of Reality / 2. Realism
21538 If two people perceive the same object, the object of perception can't be in the mind [Russell]
8. Modes of Existence / A. Relations / 1. Nature of Relations
21534 The only thing we can say about relations is that they relate [Russell]
21540 Relational propositions seem to be 'about' their terms, rather than about the relation [Russell]
9. Objects / A. Existence of Objects / 3. Objects in Thought
21536 When I perceive a melody, I do not perceive the notes as existing [Russell]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
21535 Objects only exist if they 'occupy' space and time [Russell]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
10810 I say that absolutely any things can have a mereological fusion [Lewis]
10. Modality / B. Possibility / 5. Contingency
21533 Contingency arises from tensed verbs changing the propositions to which they refer [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
21537 I assume we perceive the actual objects, and not their 'presentations' [Russell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
21532 Full empiricism is not tenable, but empirical investigation is always essential [Russell]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
21542 Do incorrect judgements have non-existent, or mental, or external objects? [Russell]
18. Thought / C. Content / 1. Content
21541 The complexity of the content correlates with the complexity of the object [Russell]
19. Language / D. Propositions / 1. Propositions
21543 If p is false, then believing not-p is knowing a truth, so negative propositions must exist [Russell]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
3049 The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius]
23. Ethics / D. Deontological Ethics / 1. Deontology
3549 Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas]