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Ludwig Wittgenstein selbst hielt seine Überlegungen zur Mathematik für seinen bedeutendsten Beitrag zur Philosophie. So beabsichtigte er zunächst, dem Thema einen zentralen Teil seiner Philosophischen Untersuchungen zu widmen. Tatsächlich wird kaum irgendwo sonst in Wittgensteins Werk so deutlich, wie radikal die Konsequenzen seines Denkens eigentlich sind. Vermutlich deshalb haben Wittgensteins Bemerkungen zur Mathematik unter all seinen Schriften auch den größten Widerstand provoziert: Seine Bemerkungen zu den Gödel’schen Unvollständigkeitssätzen bezeichnete Gödel selbst als Nonsens, und Alan Turing warf Wittgenstein vor, dass aufgrund seiner scheinbar toleranten Haltung gegenüber Widersprüchen Brücken einstürzen könnten, die Mithilfe mathematischer Berechnungen in Wittgensteins Sinne errichtet würden. Die Beiträge des Bandes erklären zentrale Überlegungen Wittgensteins zur Mathematik, räumen weit verbreitete Missverständnisse aus und analysieren kritisch Wittgensteins Bedeutung für die traditionelle Philosophie der Mathematik. Ebenfalls wird die Frage verfolgt, inwieweit Wittgensteins Bemerkungen zur Philosophie der Mathematik über seine Philosophischen Untersuchungen hinausführen.
Author: Elene Ladaria

debates about their ultimate legitimacy, as well as about the practical priorities that could be deduced from them. Here I will touch upon two contradictions which burden human rights. The first one concerns the claims arisen by human rights, whereas the second one is the one which dwells between two of

In: Menschenrechte und Menschenwürde im kulturellen Kontext

reasoning need not stop there. In our initial encounter with the Liar we recognize that the expression ‘true’ leads to contradiction. To establish this we go on to use that very expression again. Simmons call this step repetition (11). Our next step is rehabilitation . Here, we reason that we are able to

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In: History of Philosophy & Logical Analysis
Author: Vasilis Politis

the one and only means by which one may arrive at the thinking of, certain Forms (here the Form of the quality, equal ). There appears to be a tension, or contradiction, between the two claims. Certainly, there appears to be a contradiction, if the earlier claim is understood as meaning or implying

In: History of Philosophy & Logical Analysis
Author: Ralf Busse

subject, Rodriguez-Pereyra (2015, 149) infers that Leibniz’s worry concerning the merely nominal Aristotelian definition is “that the idea of true predication or attribution might conceal a contradiction or impossibility”, and he diagnoses that with CCT Leibniz “has done nothing to show that there is no

In: History of Philosophy & Logical Analysis
Author: Evan Rodriguez

criticizes other interpreters of the Parmenides for either ignoring these connections or failing to explain them adequately. She suggests that Plato is borrowing Gorgias’ method and reinforcing a Gorgianic criticism of Eleaticism, that it inherently leads to contradictions (Brémond 2019, 97–99). But I

In: History of Philosophy & Logical Analysis
Author: Wolfgang Lenzen

contradiction any assertion can be inferred«, findet sich auch in dem Wikipedia-Eintrag ; der Vf. weist jedoch darauf hin: »His writings are lost.« 10 Vgl. insbesondere Teil II von Jacobi (1993).

In: Abaelards Logik
Author: Inga Bones

have been jettisoned by various theorists of vagueness. Proponents of paraconsistent accounts (cf., e.g., Hyde, 2008: 93ff.) defend the possibility of true contradictions such as ›Prince William both is and is not bald,‹ and many theorists of vagueness have argued about the truth, falsity, or

In: How to Swim in Sinking Sands
Author: Philip Goff

arises from the need to account for the truth of the laws of logic and for our epistemological relationship with them. For the sake of simplicity I will mainly focus on the law of non-contradiction (LNC), which I will take to be the law that there aren’t, and cannot be, any contradictory states of

Open Access
In: Panentheism and Panpsychism
Author: Inga Bones

would not go quite as far as Sainsbury and claim that the notion of a vague or fuzzy boundary is essentially a contradiction in terms; nevertheless, I think he is right to insist that vague predicates are, strictly speaking, boundaryless. Regarding our examples, the river and the hedge noticeably stand

In: How to Swim in Sinking Sands