Combining Philosophers

All the ideas for Irenaeus, Parmenides and Rod Girle

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43 ideas

2. Reason / A. Nature of Reason / 1. On Reason
1502 Parmenides was much more cautious about accepting ideas than his predecessors [Simplicius on Parmenides]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
7786 Propositional logic handles negation, disjunction, conjunction; predicate logic adds quantifiers, predicates, relations [Girle]
7798 There are three axiom schemas for propositional logic [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
7799 Proposition logic has definitions for its three operators: or, and, and identical [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
7797 Axiom systems of logic contain axioms, inference rules, and definitions of proof and theorems [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
7794 There are seven modalities in S4, each with its negation [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
7793 ◊p → □◊p is the hallmark of S5 [Girle]
7795 S5 has just six modalities, and all strings can be reduced to those [Girle]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
7787 Possible worlds logics use true-in-a-world rather than true [Girle]
7788 Modal logic has four basic modal negation equivalences [Girle]
7796 Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
7789 Necessary implication is called 'strict implication'; if successful, it is called 'entailment' [Girle]
5. Theory of Logic / H. Proof Systems / 5. Tableau Proof
7790 If an argument is invalid, a truth tree will indicate a counter-example [Girle]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
448 No necessity could produce Being either later or earlier, so it must exist absolutely or not at all [Parmenides]
447 Being must be eternal and uncreated, and hence it is timeless [Parmenides]
449 Being is not divisible, since it is all alike [Parmenides]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
1503 There is no such thing as nothing [Parmenides]
445 The realm of necessary non-existence cannot be explored, because it is unknowable [Parmenides]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
21820 Parmenides at least saw Being as the same as Nous, and separate from the sensed realm [Parmenides, by Plotinus]
7. Existence / B. Change in Existence / 1. Nature of Change
452 All our concepts of change and permanence are just names, not the truth [Parmenides]
9. Objects / E. Objects over Time / 1. Objects over Time
1504 Something must be unchanging to make recognition and knowledge possible [Aristotle on Parmenides]
10. Modality / A. Necessity / 3. Types of Necessity
7800 Analytic truths are divided into logically and conceptually necessary [Girle]
10. Modality / A. Necessity / 5. Metaphysical Necessity
444 The first way of enquiry involves necessary existence [Parmenides]
10. Modality / A. Necessity / 8. Transcendental Necessity
450 Necessity sets limits on being, in order to give it identity [Parmenides]
10. Modality / B. Possibility / 1. Possibility
7801 Possibilities can be logical, theoretical, physical, economic or human [Girle]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
7792 A world has 'access' to a world it generates, which is important in possible worlds semantics [Girle]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
451 Thinking implies existence, because thinking depends on it [Parmenides]
12. Knowledge Sources / B. Perception / 1. Perception
1506 Parmenides treats perception and intellectual activity as the same [Theophrastus on Parmenides]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
3058 Only reason can prove the truth of facts [Parmenides]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
5081 There could be movement within one thing, as there is within water [Aristotle on Parmenides]
1509 The one can't be divisible, because if it was it could be infinitely divided down to nothing [Parmenides, by Simplicius]
20900 Defenders of the One say motion needs the void - but that is not part of Being [Parmenides, by Aristotle]
226 The one is without any kind of motion [Parmenides]
1505 Reason sees reality as one, the senses see it as many [Aristotle on Parmenides]
453 Reality is symmetrical and balanced, like a sphere, with no reason to be greater one way rather than another [Parmenides]
555 People who say that the cosmos is one forget that they must explain movement [Aristotle on Parmenides]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
1792 He taught that there are two elements, fire the maker, and earth the matter [Parmenides, by Diog. Laertius]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
5115 It is feeble-minded to look for explanations of everything being at rest [Aristotle on Parmenides]
27. Natural Reality / C. Space / 1. Void
13217 The void can't exist, and without the void there can't be movement or separation [Parmenides, by Aristotle]
27. Natural Reality / D. Time / 3. Parts of Time / a. Beginning of time
22918 What could have triggered the beginning [of time and being]? [Parmenides]
27. Natural Reality / E. Cosmology / 1. Cosmology
1794 He was the first to discover the identity of the Morning and Evening Stars [Parmenides, by Diog. Laertius]
1791 He was the first person to say the earth is spherical [Parmenides, by Diog. Laertius]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
20698 Irenaeus says evil is necessary for perfect human development [Irenaeus, by Davies,B]