The uncanny accuracy of God's mathematical beliefs

Religious Studies ◽

10.1017/s0034412519000283 ◽

2019 ◽

pp. 1-20

Author(s):

ROBERT KNOWLES

Keyword(s):

Mathematical Knowledge ◽

Good News ◽

Mathematical Beliefs ◽

Classical Theism ◽

General Account ◽

The Uncanny ◽

Mathematical Platonism ◽

Divine Knowledge

AbstractI show how mathematical platonism combined with belief in the God of classical theism can respond to Field's epistemological objection. I defend an account of divine mathematical knowledge by showing that it falls out of an independently motivated general account of divine knowledge. I use this to explain the accuracy of God's mathematical beliefs, which in turn explains the accuracy of our own. My arguments provide good news for theistic platonists, while also shedding new light on Field's influential objection.

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Factors Affecting the Development of Mathematical Knowledge for Teaching and Mathematical Beliefs of Prospective Primary Teachers

International Electronic Journal of Mathematics Education ◽

10.29333/iejme/612 ◽

2017 ◽

Vol 12 (3) ◽

pp. 243-264

Author(s):

Ifada Novikasari

Keyword(s):

Mathematical Knowledge ◽

Mathematical Knowledge For Teaching ◽

Primary Teachers ◽

Mathematical Beliefs ◽

Factors Affecting ◽

Knowledge For Teaching ◽

Prospective Primary Teachers

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Algebra I Teachers’ Beliefs and Knowledge of Algebra For Teaching

Journal of Education, Teaching and Social Studies ◽

10.22158/jetss.v4n1p1 ◽

2022 ◽

Vol 4 (1) ◽

pp. p1

Author(s):

Travis Mukina ◽

Hans Chun

Keyword(s):

Current Algebra ◽

Mathematical Knowledge ◽

Algebra I ◽

Mathematical Knowledge For Teaching ◽

Classroom Research ◽

Mathematical Beliefs ◽

Knowledge For Teaching ◽

Teachers Beliefs

Research indicates that teachers’ mathematical beliefs and mathematical knowledge for teaching impacts practices in the classroom. Research also suggests that success in Algebra I is the gatekeeper to higher-level mathematics. With the increased number of certification pathways in some states, it is important to identify those Algebra I teachers’ beliefs and knowledge of algebra for teaching. A study of current Algebra I teachers revealed that regardless of certification pathway, mathematical beliefs are not significantly different. Additionally, significant differences did exist in regards to the certification pathway and Knowledge of Algebra for Teaching (KAT) levels.

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Theism and modal realism

Religious Studies ◽

10.1017/s0034412506008419 ◽

2006 ◽

Vol 42 (3) ◽

pp. 315-328 ◽

Cited By ~ 9

Author(s):

PAUL SHEEHY

Keyword(s):

Possible Worlds ◽

Modal Realism ◽

Classical Theism ◽

Divine Omnipotence ◽

Divine Knowledge ◽

Classical Conception ◽

Creative Role ◽

The Relationship

This paper examines the relationship between the classical theistic conception of God and modal realism. I suggest that realism about possible worlds has unwelcome consequences for that conception. First, that modal realism entails the necessity of divine existence eludes explanation in a way congenial to a commitment to both modal realism and classical theism. Second, divine knowledge is dependent on worlds independent of the creative role and action of God, thereby suggesting a limitation on the nature of divine knowledge and on the nature of God's creative role. Third, modal realism indicates the existence of real, albeit non-actual, worlds of appalling evil threatening the classical conception of divine omnipotence and benevolence.

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Theism, Explanation, and Mathematical Platonism

Philosophia Christi ◽

10.5840/pc202022227 ◽

2020 ◽

Vol 22 (2) ◽

pp. 325-334

Author(s):

C. P. Ruloff ◽

Keyword(s):

Mathematical Beliefs ◽

Mathematical Platonism ◽

Better Than

Dan Baras has recently argued for the claim that Theistic Mathematical Platonism (TMP) fares no better than Mathematical Platonism (MP) with respect to explaining why our mathematical beliefs are correlated with mind-independent mathematical truths. In this paper I argue that, insofar as TMP provides a proximate or local explanation for this truth-tracking correlation whereas MP fails to offer any corresponding explanation, Baras’s claim that TMP fares no better than MP with respect to explaining this correlation is false.

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