Combining Philosophers

All the ideas for Engelbretsen,G/Sayward,C, R Martin / J Barresi and Zeno (Elea)

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19 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic

13913

The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward]

13914

Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts [Engelbretsen/Sayward]

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic

13915

Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences [Engelbretsen/Sayward]

4. Formal Logic / A. Syllogistic Logic / 3. Term Logic

13916

Term logic uses expression letters and brackets, and '-' for negative terms, and '+' for compound terms [Engelbretsen/Sayward]

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

13850

In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

13849

Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward]

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic

13851

Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

13852

Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox

1507	We don't have time for infinite quantity, but we do for infinite divisibility, because time is also divisible [Aristotle on Zeno of Elea]

5109	The fast runner must always reach the point from which the slower runner started [Zeno of Elea, by Aristotle]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')

1512	Zeno is wrong that one grain of millet makes a sound; why should one grain achieve what the whole bushel does? [Aristotle on Zeno of Elea]

5. Theory of Logic / L. Paradox / 7. Paradoxes of Time

1508	Zeno's arrow paradox depends on the assumption that time is composed of nows [Aristotle on Zeno of Elea]

16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity

5504	Maybe we should see persons in four dimensions, with stages or time-slices at an instant [Martin/Barresi]

5503	Maybe personal identity is not vital in survival, and other continuations would suffice [Martin/Barresi]

16. Persons / E. Rejecting the Self / 2. Self as Social Construct

5502	Locke's intrinsic view of personal identity has been replaced by an externalist view [Martin/Barresi]

26. Natural Theory / A. Speculations on Nature / 1. Nature

454	If there are many things they must have a finite number, but there must be endless things between them [Zeno of Elea]

27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement

455	That which moves, moves neither in the place in which it is, nor in that in which it is not [Zeno of Elea]

27. Natural Reality / C. Space / 5. Relational Space

1511	If everything is in a place, what is the place in? Place doesn't exist [Zeno of Elea, by Simplicius]

29. Religion / D. Religious Issues / 2. Immortality / a. Immortality

5505	For Aristotle the psyche perishes with the body (except possibly 'nous') [Martin/Barresi]