Combining Texts

All the ideas for 'Essays on Intellectual Powers: Conception', 'The Bhagavad Gita' and 'Set Theory and Its Philosophy'

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

30 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
7990 Serene wisdom is freedom from ties, and indifference to fortune [Anon (Bhag)]
2. Reason / A. Nature of Reason / 7. Status of Reason
7989 Seek salvation in the wisdom of reason [Anon (Bhag)]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10702 Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10713 Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13044 Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10708 Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13546 The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10707 Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10704 We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
10703 Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
10712 If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17882 It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
13043 A relation is a set consisting entirely of ordered pairs [Potter]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
7996 I am all the beauty and goodness of things, says Krishna [Anon (Bhag)]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
13042 If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
13041 Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
9. Objects / D. Essence of Objects / 4. Essence as Definition
23647 Objects have an essential constitution, producing its qualities, which we are too ignorant to define [Reid]
10. Modality / A. Necessity / 1. Types of Modality
10709 Priority is a modality, arising from collections and members [Potter]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
11958 Impossibilites are easily conceived in mathematics and geometry [Reid, by Molnar]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
7995 In all living beings I am the light of consciousness, says Krishna [Anon (Bhag)]
19. Language / B. Reference / 1. Reference theories
23646 Reference is by name, or a term-plus-circumstance, or ostensively, or by description [Reid]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
23645 A word's meaning is the thing conceived, as fixed by linguistic experts [Reid]
20. Action / A. Definition of Action / 1. Action Theory
7999 All actions come from: body, lower self, perception, means of action, or Fate [Anon (Bhag)]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
7991 Hate and lust have their roots in man's lower nature [Anon (Bhag)]
25. Social Practice / E. Policies / 1. War / a. Just wars
7988 There is no greater good for a warrior than to fight in a just war [Anon (Bhag)]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
7992 The visible forms of nature are earth, water, fire, air, ether; mind, reason, and the sense of 'I' [Anon (Bhag)]
28. God / A. Divine Nature / 1. God
7994 Everything, including the gods, comes from me, says Krishna [Anon (Bhag)]
29. Religion / A. Polytheistic Religion / 3. Hinduism
7993 Brahman is supreme, Atman his spirit in man, and Karma is the force of creation [Anon (Bhag)]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
7997 Only by love can men see me, know me, and come to me, says Krishna [Anon (Bhag)]
29. Religion / D. Religious Issues / 2. Immortality / e. Hell
7998 The three gates of hell are lust, anger and greed [Anon (Bhag)]