Combining Texts

All the ideas for 'On Second-Order Logic', 'What is Property?' and 'Introduction of 'Essence of Christianity''

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16 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
When absorbed in deep reflection, is your reason in control, or is it you? [Feuerbach]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Reason, love and will are the highest perfections and essence of man - the purpose of his life [Feuerbach]
25. Social Practice / C. Rights / 4. Property rights
Property is theft! [Proudhon]
27. Natural Reality / G. Biology / 5. Species
Consciousness is said to distinguish man from animals - consciousness of his own species [Feuerbach]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
A God needs justice, kindness and wisdom, but those concepts don't depend on the concept of God [Feuerbach]
28. God / C. Attitudes to God / 4. God Reflects Humanity
The nature of God is an expression of human nature [Feuerbach]
28. God / C. Attitudes to God / 5. Atheism
If love, goodness and personality are human, the God who is their source is anthropomorphic [Feuerbach]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion is the consciousness of the infinite [Feuerbach]
Today's atheism will tomorrow become a religion [Feuerbach]