Combining Texts

All the ideas for 'The Bhagavad Gita', 'A World of Dispositions' and 'Structures and Structuralism in Phil of Maths'

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34 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Serene wisdom is freedom from ties, and indifference to fortune [Anon (Bhag)]
2. Reason / A. Nature of Reason / 7. Status of Reason
Seek salvation in the wisdom of reason [Anon (Bhag)]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
All structures are dispositional, objects are dispositions sets, and events manifest dispositions [Fetzer]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
I am all the beauty and goodness of things, says Krishna [Anon (Bhag)]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
9. Objects / C. Structure of Objects / 1. Structure of an Object
All events and objects are dispositional, and hence all structural properties are dispositional [Fetzer]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
In all living beings I am the light of consciousness, says Krishna [Anon (Bhag)]
20. Action / A. Definition of Action / 1. Action Theory
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
Hate and lust have their roots in man's lower nature [Anon (Bhag)]
25. Social Practice / E. Policies / 1. War / a. Just wars
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
The visible forms of nature are earth, water, fire, air, ether; mind, reason, and the sense of 'I' [Anon (Bhag)]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
Kinds are arrangements of dispositions [Fetzer]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Lawlike sentences are general attributions of disposition to all members of some class [Fetzer]
28. God / A. Divine Nature / 1. God
Everything, including the gods, comes from me, says Krishna [Anon (Bhag)]
29. Religion / A. Polytheistic Religion / 3. Hinduism
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
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
The three gates of hell are lust, anger and greed [Anon (Bhag)]