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All the ideas for 'Grundgesetze der Arithmetik 1 (Basic Laws)', 'No Moral Difference' and 'The Theodicy'

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27 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 / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
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]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
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]
25. Social Practice / F. Life Issues / 2. Euthanasia
If it is desirable that a given patient die, then moral objections to killing them do not apply [Rachels]
It has become normal to consider passive euthanasia while condemning active euthanasia [Rachels]
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]