Combining Texts

All the ideas for 'Logicism Revisited', 'The Theory of Epistemic Rationality' and 'The Theodicy'

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25 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
Reasonings have a natural ordering in God's understanding, but only a temporal order in ours [Leibniz]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Rational internal belief is conviction that a proposition enhances a belief system [Foley, by Vahid]
16. Persons / F. Free Will / 5. Against Free Will
Saying we must will whatever we decide to will leads to an infinite regress [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Perfections of soul subordinate the body, but imperfections of soul submit to the body [Leibniz]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Will is an inclination to pursue something good [Leibniz]
22. Metaethics / B. Value / 2. Values / e. Death
Most people facing death would happily re-live a similar life, with just a bit of variety [Leibniz]
22. Metaethics / B. Value / 2. Values / j. Evil
Metaphysical evil is imperfection; physical evil is suffering; moral evil is sin [Leibniz]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
You can't assess moral actions without referring to the qualities of character that produce them [Leibniz]
28. God / A. Divine Nature / 2. Divine Nature
God must be intelligible, to select the actual world from the possibilities [Leibniz]
28. God / A. Divine Nature / 3. Divine Perfections
The intelligent cause must be unique and all-perfect, to handle all the interconnected possibilities [Leibniz]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
God prefers men to lions, but might not exterminate lions to save one man [Leibniz]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
If justice is arbitrary, or fixed but not observed, or not human justice, this undermines God [Leibniz]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
God is the first reason of things; our experiences are contingent, and contain no necessity [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The laws of physics are wonderful evidence of an intelligent and free being [Leibniz]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Prayers are useful, because God foresaw them in his great plan [Leibniz]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
How can an all-good, wise and powerful being allow evil, sin and apparent injustice? [Leibniz]
Being confident of God's goodness, we disregard the apparent local evils in the visible world [Leibniz]