Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Seven Types of Atheism' and 'First-order Logic, 2nd-order, Completeness'

expand these ideas     |    start again     |     specify just one area for these texts

16 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10751 Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10759 There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10753 Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
10752 Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
10754 In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10756 A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10758 If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10761 Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10755 A deductive system is only incomplete with respect to a formal semantics [Rossberg]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
28. God / C. Attitudes to God / 5. Atheism
23061 Free atheism should start by questioning its faith in humanity [Gray]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
23057 Gnosticism has a supreme creator God, giving way to a possibly hostile Demiurge [Gray]
29. Religion / B. Monotheistic Religion / 2. Judaism
23056 Judaism only became monotheistic around 550 BCE [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
23055 Christians introduced the idea that a religion needs a creed [Gray]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
23058 Buddhism has no divinity or souls, and the aim is to lose the illusion of a self [Gray]