Combining Texts

All the ideas for 'fragments/reports', 'Begriffsschrift' and 'The Theodicy'

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38 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Frege changed philosophy by extending logic's ability to check the grounds of thinking [Potter on Frege]
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]
2. Reason / B. Laws of Thought / 1. Laws of Thought
We should not describe human laws of thought, but how to correctly track truth [Frege, by Fisher]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
I don't use 'subject' and 'predicate' in my way of representing a judgement [Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀
For Frege, 'All A's are B's' means that the concept A implies the concept B [Frege, by Walicki]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Frege has a judgement stroke (vertical, asserting or judging) and a content stroke (horizontal, expressing) [Frege, by Weiner]
The laws of logic are boundless, so we want the few whose power contains the others [Frege]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
In 1879 Frege developed second order logic [Frege, by Putnam]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner]
5. Theory of Logic / G. Quantification / 1. Quantification
A quantifier is a second-level predicate (which explains how it contributes to truth-conditions) [Frege, by George/Velleman]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
For Frege the variable ranges over all objects [Frege, by Tait]
Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett on Frege]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Frege introduced quantifiers for generality [Frege, by Weiner]
Frege reduced most quantifiers to 'everything' combined with 'not' [Frege, by McCullogh]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
Proof theory began with Frege's definition of derivability [Frege, by Prawitz]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Frege produced axioms for logic, though that does not now seem the natural basis for logic [Frege, by Kaplan]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
It may be possible to define induction in terms of the ancestral relation [Frege, by Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Frege's logic has a hierarchy of object, property, property-of-property etc. [Frege, by Smith,P]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Existence is not a first-order property, but the instantiation of a property [Frege, by Read]
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 / C. Assigning Meanings / 4. Compositionality
Frege's account was top-down and decompositional, not bottom-up and compositional [Frege, by Potter]
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 / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
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 / 2. Proofs of Reason / b. Ontological Proof critique
The predicate 'exists' is actually a natural language expression for a quantifier [Frege, by Weiner]
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]