WebSep 5, 2024 · Chapter 7 gives a more detailed account of just how Causal Finitism should be specified and includes an extended comparison with a competing principle from … WebThis is the meaning of the term “potential infinity” , The belief that infinity is potential only has the endorsement of such names as Aristotle, Kant , Gauss and Hilbert. ... Physical Finitism. Furthermore, the actual or potential infinitesimal can have no greater physical viability than the actual or potential infinite, all of these
Tamer Nawar, Aristotelian finitism - PhilArchive - PhilPapers
WebJun 10, 2024 · That is, the cardinality C of a set's potential infinity, if C is actually potentially infinite, is just actually infinite. This might be thought of along the lines of things like the basic modal entailment "that X is actual implies that X is possible" or "that X is possible means that X is actually possible," alongside (IIRC) the Barcan ... WebApr 17, 2024 · In her book The Philosophy of Set Theory , Mary Tiles characterized those who allow potentially infinite objects as classical finitists, and those who do not allow potentially infinite objects as strict finitists: for example, a classical finitist would allow statements such as “every natural number has a successor” and would accept the … kids name tags clip art
Finitistic Properties of High Complexity - Massachusetts …
WebApr 1, 2024 · In Infinity, Causation, and Paradox, Alexander Pruss undertakes a sweeping defense of the metaphysical thesis Causal Finitism. According to causal finitists, nothing can be affected by infinitely many causes. Pruss argues for causal finitism by way of a cumulative case: accepting causal finitism allows us to eliminate a large class of … Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream philosophy of mathematics where infinite mathematical objects (e.g., infinite sets) are accepted as legitimate. See more The main idea of finitistic mathematics is not accepting the existence of infinite objects such as infinite sets. While all natural numbers are accepted as existing, the set of all natural numbers is not considered to exist … See more Leopold Kronecker remained a strident opponent to Cantor's set theory: Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk. God created the … See more • Temporal finitism • Transcomputational problem • Finitist set theory • Rational trigonometry See more The introduction of infinite mathematical objects occurred a few centuries ago when the use of infinite objects was already a controversial topic … See more In her book The Philosophy of Set Theory, Mary Tiles characterized those who allow potentially infinite objects as classical finitists, and those … See more Ultrafinitism (also known as ultraintuitionism) has an even more conservative attitude towards mathematical objects than finitism, and has objections to … See more • Feng Ye (2011). Strict Finitism and the Logic of Mathematical Applications. Springer. ISBN 978-94-007-1347-5. See more http://philsci-archive.pitt.edu/21802/ kids name tags for backpacks diy