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Infinite capacities such as God's infinite power cannot h... — Carmelics

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Infinite capacities such as God's infinite power cannot have limits (termini) assigned to them

Against an attribute of God Divine Attributes

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1 reason for

2 reasons against

Reasons For

1 perspective

Reason for

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1.A limit (terminus) requires a boundary value that terminates the range of a capacity
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2.Infinite capacities have no termination point that can be assigned
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Reasons Against

2 perspectives

Reason against 1 of 2

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1.Aquinas distinguishes absolute power (potentia absoluta) from ordained power (potentia ordinata), showing divine infinity operates within self-imposed rational limits.
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2.A capacity can be infinite in degree while still being structurally constrained by logical necessity, as even omnipotence cannot actualize contradictions.
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Reason against 2 of 2

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1.Cantor's transfinite mathematics demonstrates that infinite sets admit of internal ordering, cardinality distinctions, and boundary conditions without ceasing to be infinite.
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2.If mathematical infinities can possess internal structure and limits relative to one another, the inference from 'infinite' to 'admits no terminus' is formally invalid.
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Divine Attributes Against an attribute of God

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Modality & Possibility2 linked

Related

A capacity can be infinite in degree while still being structurally constrained ...A limit (terminus) requires a boundary value that terminates the range of a capa...Aquinas distinguishes absolute power (potentia absoluta) from ordained power (po...Cantor's transfinite mathematics demonstrates that infinite sets admit of intern...

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If mathematical infinities can possess internal structure and limits relative to...Infinite capacities have no termination point that can be assigned

Similar

Limits (termini) for capacities exist only when specific structural co...82%God's power is not an instance of power but rather the limit case of p...82%God's power is not the maximum, or limit simpliciter, of an ordered se...79%Zeus's power is limited to what is logically possible.78%

Source

AI-extracted1/3 agreementValid

SEP: heytesbury

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Heytesbury sets the following conditions which must be obtained for limits to exist: (1) there must be a range in which the capacity can act or be acted upon, and another range in which it cannot act or be acted upon, and not both; (2) each capacity should only be able to take a value in the range on which it is measured from zero and the value which serves as its boundary. Thus, if an active capacity is capable of acting upon a given passive capacity in the range, it must be capable of acting u

Extraction notes

Validity: Extracted via Max plan + API grounding/validity checks

Details

Type: claim
Perspectives: 3 (1 for, 2 against)
Edits: 1 edit