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Limited principle of omniscience information


In constructive mathematics, the limited principle of omniscience (LPO) and the lesser limited principle of omniscience (LLPO) are axioms that are nonconstructive but are weaker than the full law of the excluded middle. They are used to gauge the amount of nonconstructivity required for an argument, as in constructive reverse mathematics. These principles are also related to weak counterexamples in the sense of Brouwer.

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Limited principle of omniscience

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In constructive mathematics, the limited principle of omniscience (LPO) and the lesser limited principle of omniscience (LLPO) are axioms that are nonconstructive...

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LPO

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(computer science) Libertarian Party of Ohio Libration point orbit Licensed Post Office Limited principle of omniscience London Philharmonic Orchestra Louisiana...

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Law of excluded middle

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displaying short descriptions of redirect targets Limited principle of omniscience – Mathematical concept Logical graph – Type of diagrammatic or visual notation...

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Constructive proof

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counterexamples of this sort are often related to the limited principle of omniscience. Constructivism (philosophy of mathematics) Errett Bishop - author of the book...

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Extended natural numbers

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\cup \{\infty \}\subseteq \mathbb {N} _{\infty }} implies the limited principle of omniscience. Sakarovitch (2009), p. 28. Koch (2020). Escardó (2013). Khanjanzadeh...

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Constructive set theory

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non-constructive, essentially logical statement goes by the name limited principle of omniscience L P O {\displaystyle {\mathrm {LPO} }} . In the constructive...

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Kevala jnana

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omniscience in Jainism and is roughly translated as complete understanding or supreme wisdom. Kevala jnana is believed to be an intrinsic quality of all...

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Gersonides

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Jewish proponent of self-limited omniscience was Abraham ibn Daud. "Whereas the earlier Jewish philosophers extended the omniscience of God to include the...

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God

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omniscient. Open Theism limits God's omniscience by contending that, due to the nature of time, God's omniscience does not mean the deity can predict the...

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Divine simplicity

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absurdity of saying that God is identical to a property. What God is identical to is not the property of omniscience but the referent of ‘God’s omniscience,’...

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Determinism

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foreknowledge of their actions, achieved through omniscience or by predetermining their actions. Theological determinism is a form of determinism that...

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Omnipotence

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religious philosophy of Abrahamic religions, omnipotence is often listed as one of God's characteristics, along with omniscience, omnipresence, and omnibenevolence...

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Free will

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creator deity. Omniscience implies the existence of destiny. Some authors have claimed that free will cannot coexist with omniscience. One argument asserts...

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Evolutionary theodicy

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justification. According to professor of Religion and of Philosophy at the University of Rochester, Edward Wierenga,, omniscience is defined as "maximal knowledge"...

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Omnipresence

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attracted less philosophical attention than such attributes as omnipotence, omniscience, or being eternal. In Western theism, omnipresence is roughly described...

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Socinianism

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doctrine of original sin. Socinianism also rejected the propitiatory view of atonement. The Socinians believed that God's omniscience was limited to what...

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Existence of God

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will. The contradiction of omniscience and omnipotence The contradiction of omniscience and omnipotence has been a topic of philosophical debate for...

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God in Islam

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either doing good so he will do more of that, or he is doing wrong so he may repent." God's omniscience is the knowledge of all things, whether they are actual...

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A Glastonbury Romance

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authorial omniscience" that aspires "to the cosmic consciousness of God. The "author-god" enters the consciousness not only of an array of human characters...

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Tawhid

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understanding of natural sciences to some degree, all seek to explain at some level the principle of tawhid. The classical definition of tawhid was limited to declaring...

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Open theism

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contingents are in principle unknowable. William Hasker, Peter Van Inwagen, and Richard Swinburne espouse this position. Non-Bivalentist Omniscience: The future...

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Jewish principles of faith

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but not how individual men will exercise their choice". On the topic of omniscience and free will, Jacobs writes that in the medieval period, three views...

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