Open Access. Powered by Scholars. Published by Universities.®
Logic and Foundations of Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
- Publication Type
Articles 1 - 3 of 3
Full-Text Articles in Logic and Foundations of Mathematics
A Cross-System Analysis Of Structural Commensurability Between Axiomatic Foundations Of Set Theory (Zfc) And The Principles Of Transcendent Wisdom, Mohammadjavad Maarefvand
A Cross-System Analysis Of Structural Commensurability Between Axiomatic Foundations Of Set Theory (Zfc) And The Principles Of Transcendent Wisdom, Mohammadjavad Maarefvand
Comparative Philosophy
Building on observed similarities in uniqueness proofs for the empty set and the Necessary Existent (Wājib al-Wujūd), this study engages the meta-methodological issue of cross-system commensurability. It identifies four instances of structural commensurability between Zermelo-Fraenkel set theory with Choice (ZFC) and Mulla Sadra's Transcendent Wisdom (Ḥikmat al-Muta'āliyah). First, identity principles: the Axiom of Extensionality provides a formal operational criterion analogous to the philosophical principle of identity through absence of distinguishing features. Second, multiplicity mechanisms: ZFC's constructor axioms (bottom-up construction) and emanation principles (top-down explanation) address analogous problems with inverse orientations. Third, transcending limitation: the Axiom of Infinity ensuring quantitative extensional …
Auseinandersetzung: Heidegger's Black Notebooks And Intercultural Engagement, Steven Burik
Auseinandersetzung: Heidegger's Black Notebooks And Intercultural Engagement, Steven Burik
Research Collection School of Social Sciences
Heidegger’s relation to Asian philosophy should be guided by the notion of Auseinandersetzung. Often translated as con-frontation, this term plays a pivotal role in understanding Heidegger’s engagements with Asian philosophy. Auseinandersetzung (and related terms) can help us realise the changed perspectives on our own thinking that we derive from engagements with culturally and/or historically other types of thinking. Heidegger warns us against facile endeavours of comparing and contrasting, which, as a form of comparative philosophy, he sees as a kind of dialectics unworthy of true thinking. Thinking through the term Auseinandersetzung allows us to reflect more meaningfully on comparative philosophy.
Moving, Moved And Will Be Moving: Zeno And Nāgārjuna On Motion From Mahāmudrā, Koan And Mathematical Physics Perspectives, Robert Alan Paul
Moving, Moved And Will Be Moving: Zeno And Nāgārjuna On Motion From Mahāmudrā, Koan And Mathematical Physics Perspectives, Robert Alan Paul
Comparative Philosophy
Zeno’s Arrow and Nāgārjuna’s Fundamental Wisdom of the Middle Way (Mūlamādhyamakakārikā, MMK) Chapter 2 (MMK/2) contain paradoxical, dialectic arguments thought to indicate that there is no valid explanation of motion, hence there is no physical or generic motion. There are, however, diverse interpretations of the latter text, and I argue they apply to Zeno’s Arrow as well. I also find that many of the interpretations are dependent on a mathematical analysis of material motion through space and time. However, with modern philosophy and physics we find that the link from no explanation to no phenomena is invalid and …