Proclus and the Neoplatonic Syllogistic

Martin, John N.

doi:10.1023/a:1017521712962

Cited by 11 publications

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“…34 According to the Neoplatonists, degrees of Being are the same as degrees of perfection, causal power, goodness, beauty, etc. The view that a privative negation stands for Being that is less "perfect" or "complete," or one that is "a part of" the original, was taken over by Proclus (1968Proclus ( -1997 On the linguistic and logical properties of privative negation and associated order expressions see Horn (1989), Martin (2001), Martin (2002). 37 The prefix un has different logical properties.…”

Section: The Meaning Of Négation Faible and Négation Forte Dominicy mentioning

confidence: 99%

“…38 35 En effet, dans les réalités, les négations, à mon avis, présentent trois types particuliers; et tantôt, étant plus apparentée au principe que les affirmations, elles sont génératrices et perfectives de la génération des affirmations; tantôt, elles sont placées sur le même rang que les affirmations, et l'affirmation n'est en rien plus respectable que la négation; tantôt enfin elles ont reçu une nature inférieure aux affirmations, et elles ne sont rien d'autre que des privations d'affirmations. Platonic Theology II:5, in Proclus (1968Proclus ( -1997 On the linguistic and logical properties of privative negation and associated order expressions see Horn (1989), Martin (2001), Martin (2002). 37 The prefix un has different logical properties.…”

Section: The Meaning Of Négation Faible and Négation Forte Dominicy unclassified

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PRIVATIVE NEGATION IN THE PORT ROYAL LOGIC

Martin

2016

The Review of Symbolic Logic

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In this paper I argue that negation in The Port Royal Logic is not a failed or incoherent approximation of Boolean complementation as maintained by Sylvain Auroux and Marc Dominicy, but is rather a version of privative negation from medieval logic, and that as such it has a perfectly coherent semantics. The discussion reviews the critiques of Auroux and Dominicy as well as the semantics of privative negation as found in Aristotle, Proclus, Ockham, Buridan, Descartes, and Arnauld.

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Section: The Meaning Of Négation Faible and Négation Forte Dominicy mentioning

confidence: 99%

Section: The Meaning Of Négation Faible and Négation Forte Dominicy unclassified

PRIVATIVE NEGATION IN THE PORT ROYAL LOGIC

Martin

2016

The Review of Symbolic Logic

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“…Along the way, I will offer some 1 He also suggests that the ideas in question should be relevant to logic (2007,139) and should not be diffuse (2007,143). 2 A. C. Lloyd (1962;; G. E. R. Lloyd (1991); Martin (2001); Lee (1984); Bobzien (2016;work in progress). 3 On syllogizing in commentaries on Aristotle's De Caelo, see Dalimier (2000.…”

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confidence: 99%

If, then, therefore? Neoplatonic Exegetical Logic between the Categorical and the Hypothetical

Martijn

2021

Hist. Philos. Log. Anal.

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In late antiquity, logic developed into what Ebbesen calls the LAS, the Late Ancient Standard. This paper discusses the Neoplatonic use of LAS, as informed by epistemological and metaphysical concerns. It demonstrates this through an analysis of the late ancient debate about hypothetical and categorical logic as manifest in the practice of syllogizing Platonic dialogues. After an introduction of the Middle Platonist view on Platonic syllogistic as present in Alcinous, this paper presents an overview of its application in the syllogizing practice of Proclus and others. That overview shows that the two types were considered two sides of the same coin, to be used for the appropriate occasions, and both relying on the methods of dialectic as revealing the structure of knowledge and reality. Pragmatics, dialectic, and didactic choices determine which type or combination is selected in syllogizing Plato. So even though there is no specific Neoplatonic logic, there is a specific Neoplatonic use of LAS.

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“…On the use of scalars in Plotinus and Proclus seeMartin (1995Martin ( , 2001.6 Proclus (1758Proclus ( -1932.7 Propositions 70 and 71,Proclus (1963).…”

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confidence: 99%

The lover of the beautiful and the good: Platonic foundations of aesthetic and moral value

Martin

2007

Synthese

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Though acknowledged by scholars, Plato's identification of the Beautiful and the Good has generated little interest, even in aesthetics where the moral concepts are a current topic. The view is suspect because, e.g., it is easy to find examples of ugly saints and beautiful sinners. In this paper the thesis is defended using ideas from Plato's ancient commentators, the Neoplatonists. Most interesting is Proclus, who applied to value theory a battery of linguistic tools with fixed semantic properties-comparative adjectives, associated gradable adjectives, mass nouns, and predicate negations-all with a semantics that demand a privative scale of value. It is shown how it is perfectly possible to interpret value terms Platonically over privative Boolean algebras so that beautiful and good diverge while at higher levels other value terms are coextensional. Considerations are offered that this structure conforms to actual usage.

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Proclus and the Neoplatonic Syllogistic

Cited by 11 publications

References 10 publications

PRIVATIVE NEGATION IN THE PORT ROYAL LOGIC

PRIVATIVE NEGATION IN THE PORT ROYAL LOGIC

If, then, therefore? Neoplatonic Exegetical Logic between the Categorical and the Hypothetical

The lover of the beautiful and the good: Platonic foundations of aesthetic and moral value

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