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Chapter
Tractatus Objects and the Logic of Color Incompatibility
Wittgenstein is simultaneously famous and notorious for his tantalizing illustration-free remarks about ‘ (einfache Gegenstände) in TractatusLogico-Philosophicus (TLP). What does Wittgenstein, among great theori...
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Article
Subalternation and existence presuppositions in an unconventionally formalized canonical square of opposition
An unconventional formalization of the canonical (Aristotelian-Boethian) square of opposition in the notation of classical symbolic logic secures all but one of the canonical square’s grid of logical interrela...
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Article
Jan Willem Wieland: Infinite Regress Arguments
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Chapter
Universal Logic or Logics in Resemblance Families
It is a momentous and as yet unsolved, perhaps unsolvable, question in the philosophy of logic, as to whether there is a single universal logic. The alternative is to maintain that there are only fundamentally...
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Article
Maurice A. Finocchiaro: Meta-argumentation: An Approach to Logic and Argumentation Theory
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Article
Socrates on the Moral Mischief of Misology
In Plato’s dialogues, the Phaedo, Laches, and Republic, Socrates warns his interlocutors about the dangers of misology. Misology is explained by analogy with misanthropy, not as the hatred of other human beings, ...
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Article
Qualities, Relations, and Property Exemplification
The question whether qualities are metaphysically more fundamental than or mere limiting cases of relations can be addressed in an applied symbolic logic. There exists a logical equivalence between qualitative...
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Book
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Chapter
Thinking Outside the Square of Opposition Box
The graphic meaning and formal implications of the canonical Aristotelian square of opposition are favorably compared with alternative ways of representing subsyllogistic logical relations among the four categ...
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Chapter
Applied Mathematics in the Sciences
A complete philosophy of mathematics must address Paul Benacerraf’s dilemma. The requirements of a general semantics for the truth of mathematical theorems that coheres also with the meaning and truth conditio...
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Article
Intentionality as a Conceptually Primitive Relation
If conceptual analysis is possible for finite thinkers, then there must ultimately be a distinction between complex and primitive or irreducible and unanalyzable concepts, by which complex concepts are analyze...
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Article
Circularity or Lacunae in Tarski’s Truth-Schemata
Tarski avoids the liar paradox by relativizing truth and falsehood to particular languages and forbidding the predication to sentences in a language of truth or falsehood by any sentences belonging to the same...
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Chapter
Deductivism and the Informal Fallacies
I want to propose and defend a general thesis concerning the nature of all fallacies of reasoning. One and all of which I maintain in distinctive ways are deductively invalid. More importantly, I want to say t...
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Article
Deductivism and the Informal Fallacies
This essay proposes and defends a general thesis concerning the nature of fallacies of reasoning. These in distinctive ways are all said to be deductively invalid. More importantly, the most accurate, complete...
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Article
Two Sides of Any Issue
Seneca in his Moral Epistles to Lucilium ridicules Protagoras’ claim that both sides of any position can be equally well argued. Cicero, on the contrary, in the surviving fragments of his dialogue, the Republic, ...
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Article
Bochenski on Property Identity and the Refutation of Universals
An argument against multiply instantiable universals is considered in neglected essays by Stanislaw Lesniewski and I.M. Bochenski. Bochenski further applies Lesniewski’s refutation of universals by maintaining...
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Article
Propositions, Sets, and Worlds
If we agree with Michael Jubien that propositions do not exist, while accepting the existence of abstract sets in a realist mathematical ontology, then the combined effect of these ontological commitments has ...
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Article
Book Reviews
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Chapter
Diagonalization in Logic and Mathematics
The family of diagonalization techniques in logic and mathematics supports important mathematical theorems and rigorously demonstrates philosophically interesting formal and metatheoretical results. Diagonaliz...
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Book
Philosophy, Psychology, and Psychologism
Critical and Historical Readings on the Psychological Turn in Philosophy