Combining Texts

All the ideas for 'works', 'Believing the Axioms I' and 'Is There a Marxist Doctrine?'

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26 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
Most people won't question an idea's truth if they depend on it [Weil]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
The Axiom of Extensionality seems to be analytic [Maddy]
Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Efforts to prove the Axiom of Choice have failed [Maddy]
Modern views say the Choice set exists, even if it can't be constructed [Maddy]
A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
The concept of being has only one meaning, whether talking of universals or of God [Duns Scotus, by Dumont]
Being (not sensation or God) is the primary object of the intellect [Duns Scotus, by Dumont]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Duns Scotus was a realist about universals [Duns Scotus, by Dumont]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Scotus said a substantial principle of individuation [haecceitas] was needed for an essence [Duns Scotus, by Dumont]
9. Objects / D. Essence of Objects / 2. Types of Essence
Avicenna and Duns Scotus say essences have independent and prior existence [Duns Scotus, by Dumont]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Certainty comes from the self-evident, from induction, and from self-awareness [Duns Scotus, by Dumont]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Scotus defended direct 'intuitive cognition', against the abstractive view [Duns Scotus, by Dumont]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Augustine's 'illumination' theory of knowledge leads to nothing but scepticism [Duns Scotus, by Dumont]
16. Persons / F. Free Will / 2. Sources of Free Will
The will retains its power for opposites, even when it is acting [Duns Scotus, by Dumont]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Weakness of will is the inadequacy of the original impetus to carry through the action [Weil]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
In a violent moral disagreement, it can't be that both sides are just following social morality [Weil]
25. Social Practice / E. Policies / 1. War / b. Justice in war
When war was a profession, customary morality justified any act of war [Weil]
28. God / A. Divine Nature / 2. Divine Nature
The concept of God is the unique first efficient cause, final cause, and most eminent being [Duns Scotus, by Dumont]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
We can't infer the infinity of God from creation ex nihilo [Duns Scotus, by Dumont]