Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Rayo,A/Uzquiasno,G and Parmenides

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34 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Parmenides was much more cautious about accepting ideas than his predecessors [Simplicius on Parmenides]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Being is not divisible, since it is all alike [Parmenides]
No necessity could produce Being either later or earlier, so it must exist absolutely or not at all [Parmenides]
Being must be eternal and uncreated, and hence it is timeless [Parmenides]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
The realm of necessary non-existence cannot be explored, because it is unknowable [Parmenides]
There is no such thing as nothing [Parmenides]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
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
All our concepts of change and permanence are just names, not the truth [Parmenides]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
9. Objects / E. Objects over Time / 1. Objects over Time
Something must be unchanging to make recognition and knowledge possible [Aristotle on Parmenides]
10. Modality / A. Necessity / 5. Metaphysical Necessity
The first way of enquiry involves necessary existence [Parmenides]
10. Modality / A. Necessity / 8. Transcendental Necessity
Necessity sets limits on being, in order to give it identity [Parmenides]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
Thinking implies existence, because thinking depends on it [Parmenides]
12. Knowledge Sources / B. Perception / 1. Perception
Parmenides treats perception and intellectual activity as the same [Theophrastus on Parmenides]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Only reason can prove the truth of facts [Parmenides]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
The one is without any kind of motion [Parmenides]
There could be movement within one thing, as there is within water [Aristotle on Parmenides]
The one can't be divisible, because if it was it could be infinitely divided down to nothing [Parmenides, by Simplicius]
Defenders of the One say motion needs the void - but that is not part of Being [Parmenides, by Aristotle]
Reason sees reality as one, the senses see it as many [Aristotle on Parmenides]
Reality is symmetrical and balanced, like a sphere, with no reason to be greater one way rather than another [Parmenides]
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
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
It is feeble-minded to look for explanations of everything being at rest [Aristotle on Parmenides]
27. Natural Reality / C. Space / 1. Void
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
What could have triggered the beginning [of time and being]? [Parmenides]
27. Natural Reality / E. Cosmology / 1. Cosmology
He was the first person to say the earth is spherical [Parmenides, by Diog. Laertius]
He was the first to discover the identity of the Morning and Evening Stars [Parmenides, by Diog. Laertius]