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Philosophy of mathematics that accepts only finite objects
Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream
Finitism
Doctrine that time is finite in the past
establish temporal finitism. He was followed by many others including St. Bonaventure. Philoponus' arguments for temporal finitism were severalfold. Contra
Temporal_finitism
Belief in a deity that is not omnipotent
(1884–1953) defended theistic finitism in his book A Philosophy of Religion, published in 1940. Brightman stated that theistic finitism began with Plato and he
Theistic_finitism
Concept in the philosophy of mathematics
formalism, strict finitism, actualism, predicativism, and strong finitism are various philosophies of mathematics with aspects of finitism and intuitionism
Ultrafinitism
Paradox involving infinity
about the possibility of continuous time and the infinite past (temporal finitism). It is inspired by J. A. Benardete's paradoxes from the 1964 book Infinity:
Grim_Reaper_paradox
1981 book by Harold Kushner
it—essentially, the evidential problem of evil. The book argues for theistic finitism. Kushner proposes a finite God solution to the problem of evil. God is
When Bad Things Happen to Good People
When_Bad_Things_Happen_to_Good_People
Philosphical view that existence proofs must be constructive
constructivism. These include the program of intuitionism founded by Brouwer, the finitism of Hilbert and Bernays, the constructive recursive mathematics of Shanin
Constructivism (philosophy of mathematics)
Constructivism_(philosophy_of_mathematics)
mathematicism, logicism, formalism, conventionalism, intuitionism, constructivism, finitism, structuralism, embodied mind theories (Aristotelian realism, psychologism
Philosophy_of_mathematics
over whether the universe had a finite or infinite past (see Temporal finitism). The philosophy of Aristotle held that the universe had an infinite past
History of the Big Bang theory
History_of_the_Big_Bang_theory
Mathematical concept
This skepticism was developed in the philosophy of mathematics called finitism, an extreme form of mathematical philosophy in the general philosophical
Infinity
English academic and Anglican priest (1858–1924)
universities of the Middle Ages. He argued for personal idealism and theistic finitism. Born in Kensington, London, on 24 June 1858, Rashdall was the son of an
Hastings_Rashdall
Mathematician, philosopher, professor (born 1953)
needed] Van Bendegem wrote his PhD thesis in philosophy on the subject of finitism under the supervision of Diderik Batens while at Ghent University. He defended
Jean_Paul_Van_Bendegem
Function computable with bounded loops
The primitive recursive functions are closely related to mathematical finitism, and are used in several contexts in mathematical logic where a particularly
Primitive_recursive_function
Canadian logician, philosopher of mathematics
analytic philosophy Workplaces University of Calgary Thesis Hilbert's Finitism: Historical and Philosophical Perspectives (2001) Doctoral advisors Paolo
Richard_Zach
1949 film directed by Emil E. Reinert
Thus Finishes the Night (French: Ainsi finite la nuit) is a 1949 French drama film directed by Emil E. Reinert and starring Anne Vernon, Claude Dauphin
Thus_Finishes_the_Night
French writer and dramatist (1802–1870)
grand-père un singe. Vous voyez, Monsieur: ma famille commence où la vôtre finit. "Dumas et la négritude" (in French). Archived from the original on 6 September
Alexandre_Dumas
Approach in philosophy of mathematics and logic
logic Constructivism (philosophy of mathematics) Curry–Howard isomorphism Finitism Foundations of mathematics Fuzzy logic Game semantics Intuition (knowledge)
Intuitionism
Formalization of the natural numbers
PRA is finitistic. Many also believe that all of finitism is captured by PRA, but others believe finitism can be extended to forms of recursion beyond primitive
Primitive recursive arithmetic
Primitive_recursive_arithmetic
Datum or structured component of reality
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Fact
Concept that there might be more than one dimension of time
time B-theory of time Endurantism Eternalism Four-dimensionalism Fatalism Finitism Growing block universe Perdurantism Presentism Related articles Etiology
Multiple_time_dimensions
American philosopher, logician, and author (1906–2001)
with encouragement from G. E. Moore, to publish an article entitled "Finitism in Mathematics" in the philosophical journal Mind which was intended to
Alice_Ambrose
Subjective attitude that something is true
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Belief
Belief in God or gods
be genuinely free. Theistic finitism and skeptical theism seek to reconcile the existence of God and evil. Theistic finitism suggests that God is not omnipotent:
Theism
Traditions of human transformation aided by religious experiences
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Mysticism
Concept in Scholastic philosophy
(Christianity) Philosophy of space and time Physics (Aristotle) Proclus Temporal finitism Anzulewicz, Henryk (2001-06-21). Porro, Pasquale (ed.). "Aeternitas - Aevum
Aevum
Set of statements constructed to describe a set of facts which clarifies causes
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Explanation
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
List of evangelical seminaries and theological colleges
List_of_evangelical_seminaries_and_theological_colleges
Abrahamic new religious movement originating in 1930s Jamaica
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Rastafari
Judgement, viewpoint, or statement that is not conclusive
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Opinion
Form of predeterminism
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Theological_determinism
Inclination for or against
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Bias
Set of philosophical problems
2023-12-29. Retrieved 2020-11-21. Van Bendegem, Jean Paul (17 March 2010). "Finitism in Geometry". Stanford Encyclopedia of Philosophy. Archived from the original
Zeno's_paradoxes
UNIX system component
from the original on 2014-08-02. Retrieved 2014-07-31. "GitHub - finit-project/finit: Fast init for Linux. Cookies included". GitHub. Retrieved 2026-04-25
Init
Systems philosophy Taoism – Teleology – Tetralemma – Theism – Theistic finitism – Thelema – Theology – Theosophy – Theravada Buddhism – Thermal and statistical
List_of_philosophies
Inference seeking the simplest and most likely explanation
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Abductive_reasoning
Underlying state or underlying substance
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Hypostasis (philosophy and religion)
Hypostasis_(philosophy_and_religion)
Belief in the existence of many gods but with the consistent worship of only one deity
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Monolatry
Innate human nature in Islam
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Fitra
Ethnoreligious group of the Levant
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Druze
Native American religious movement
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Ghost_Dance
Useful connection between topics
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Relevance
Ability of a theory to explain a subject
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Explanatory_power
Everything in space and time
consisted of momentary flashes of a stream of energy. The notion of temporal finitism was inspired by the doctrine of creation shared by the three Abrahamic
Universe
Conceptions of the end of the present age
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Eschatology
Supreme deity in theistic belief systems
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
God
Form of reasoning
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Deductive_reasoning
1794 French counter-revolution against Robespierre
study of the Committee of Public Safety. Saurel, Louis (1962), Le Jour où finit la Terreur(in French) , Robert Laffont Schama, Simon (1989). Citizens: A
Thermidorian_Reaction
American philosopher (1910-1989)
Metaphysical Society of America. Bertocci was an advocate of theistic finitism, proposing that "God is all-good but not all-powerful". The Empirical Argument
Peter_Anthony_Bertocci
Extinct branch of Zoroastrianism
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Zurvanism
Belief that all things derive from a first reality
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Emanationism
Supernatural being
Philosophical theism liberal Physitheism Polytheism Skeptical theism Theistic finitism Transtheism Deities by association Agriculture Art Beauty Chaos Creator
Deity
Sociology Professor
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Gabriele_Dietrich
Analysis of facts to form a judgment
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Critical_thinking
Pretending to treat something as literally true (a "useful fiction")
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Fictionalism
School of Christian apologetics
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Presuppositional_apologetics
Third-largest branch of Islam
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Ibadism
Book by Lee Smolin
time B-theory of time Endurantism Eternalism Four-dimensionalism Fatalism Finitism Growing block universe Perdurantism Presentism Related articles Etiology
Time_Reborn
Religious thought and practice independent of belief in deities
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Nontheistic_religion
Philosophical argument that asserts an inconsistency with nonbelief and God's existence
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Argument_from_nonbelief
Creation spirit in some schools of philosophy
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Demiurge
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Transcendental_theology
Arab religious leader (died 883)
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Ibn_Nusayr
Belief in the advent of a messiah
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Messianism
Ancient Roman divine presence
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Numen
Worshipping a god, accepting others may exist
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Henotheism
American philosopher and psychologist (1842–1910)
of God as separate from the world." James was an advocate of theistic finitism, which he used to explain the problem of evil. James devoted much of his
William_James
Communication used to influence opinion
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Propaganda
Father, Son, and Holy Spirit relationships
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Perichoresis
About mathematical infinity
the Fall and original sin of [Cantor's] set theory The difficulty with finitism is to develop foundations of mathematics using finitist assumptions that
Controversy over Cantor's theory
Controversy_over_Cantor's_theory
Philosophical argument
JSTOR 27653481. S2CID 8768211. Van Bendegem, Jean Paul (2019-09-12). "Finitism in Geometry". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy
Weyl's_tile_argument
Branch of mathematics that studies sets
philosophy required an ontological commitment to radical constructivism and finitism. Meta-mathematical statements – which, for Wittgenstein, included any statement
Set_theory
Philosophical problem-solving principle
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Occam's_razor
Adhering absolutely to certain constraints with consistency
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Rigour
Type of uncertainty of meaning where several interpretations are possible
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Ambiguity
Theological doctrine in Asia
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Pandeism_in_Asia
Branch of theology featuring narratives
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Mythical_theology
Theology reliant on rational and empirical arguments
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Natural_theology
School of thought in sociology
Activity', Critica 19: 19–44. Barnes, Barry (1992). "Realism, relativism and finitism". In Raven, Diederick; van Vucht Tijssen, Lieteke; de Wolf, Jan (eds.)
Strong_programme
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Mirza_Muhammad_al-Akhbari
Application of logical methods to philosophical problems
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Philosophical_logic
Branch of mathematics
October 2007 (available for MP3 and MP4 download as well as a text file) Finitism in Geometry at the Stanford Encyclopedia of Philosophy The Geometry Junkyard
Geometry
Dutch mathematician (1939–2019)
December 2006 at the Wayback Machine Marion, Mathieu (1998), Wittgenstein, Finitism, and the Foundations of Mathematics, New York: Oxford University Press
Anne_Sjerp_Troelstra
Non-legalistic exegetical texts in the classical rabbinic literature
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Aggadah
Inability to think and behave rationally despite adequate intelligence
Vagueness Theories of deduction Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism
Dysrationalia
American painter (born 1976)
the artist's profile. Retrieved 2 April 2017. "Le mythe Frankenstein n'en finit pas d'inspirer les artistes". La Tribune de Genève. December 3, 2016. "Dana
Dana_Schutz
American philosopher (1928–2016)
Robert C. (2018). "The Grim Reaper Kalam Argument: From Temporal and Causal Finitism to God". The Kalām Cosmological Argument. Vol. 1. Bloomsbury Academic.
José_Benardete
Alternative decimal expansion of 1
and eventually repeating right ends to represent the 10-adic numbers. Finitism Informal mathematics Dichotomy paradox, a paradox formed based on not intuitively
0.999...
Mathematical logic concept
as Zermelo was a mathematical Platonist who opposed intuitionism and finitism in mathematics. Zermelo believed in a kind of infinite Platonic ideal of
Skolem's_paradox
Feminine or female deity
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Goddess
Chinese view of heaven
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Tian
Branch of theology
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Ontotheology
English mathematician (1912–1985)
collection of which later became The Blue Book. He published many works on finitism and the reconstruction of analysis from a finitistic viewpoint, for example
Reuben_Goodstein
Philosophy based on the teachings of Hermes Trismegistus
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Hermeticism
Iranian Sufi mystic order in Shia Islam
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Safavid_order
Classification of Indian philosophies
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Āstika_and_nāstika
American professor, pastor and founder of Edwin Mellen Press
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Herbert Richardson (publisher)
Herbert_Richardson_(publisher)
French association football player (born 2001)
Soccerway. Retrieved 7 December 2017. "Lyon perd face à l'Atalanta Bergame et finit deuxième de son groupe". L'Équipe (in French). 7 December 2017. Retrieved
Willem_Geubbels
Belief that God and reality are identical
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Pantheism
God Logos Personal god Phenomenological definition Philo's view Theistic finitism Theopanism Unmoved mover Forms Deism Dys- Ego- Heno- Katheno- Mono- primitive
Gender_of_God
Philosophical question
the world through divine creation. Philoponus' arguments for temporal finitism were severalfold. Contra Aristotlem has been lost, and is chiefly known
Eternity_of_the_world
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