Epistemology (the study of knowledge and its conditions) Logic and First Principles of right reason Mathematics science education Science, Mathematics, Philosophy and (Natural) Theology Science, worldview issues/foundations and society UD's Sci-Tech watch

Semi-circles and right angle dilemmas . . .

Daily Mail reports on a class assignment for seven year olds that happened to be set for the daughter of a Mathematics Lecturer at Oxford. Maths lecturer is left baffled by his seven-year-old daughter’s geometry homework and turns to Twitter for help – so can YOU work out if it’s true or false? Dr Kit Read More…

Logic and First Principles of right reason Mathematics Philosophy Science, Mathematics, Philosophy and (Natural) Theology

Logic and First Principles, 15: On the architecture of being. Or, are certain abstract entities (“abstracta”) such as numbers, natures, truth etc real? If so, how — and where?

For some weeks now, an underlying persistent debate on the reality of numbers has emerged in several discussion threads at UD. In part, it has been cast in terms of nominalism vs platonic realism; the latter being the effective view of most working mathematicians. Obviously, this is a first principles issue and is worth focussed Read More…

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Logic and First Principles, 11: The logic of Ultimate Mind as Source of Reality

After we headlined and began discussing PS on hearing and consciousness yesterday, H raised a significant issue: H, 15: >> . . . the invocation of a Creator who “beautifully designed what each sound should sound like” and “put the special program that can interpret each frequency pattern of air vibration into each sound, thus Read More…

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The Fourier series & rotating vectors in action (with i lurking) — more on the mathematical fabric of reality

The Fourier series is a powerful technique that can be used to break down any repeating waveform into sinusoidal components, based on integer number harmonics of a fundamental frequency: Video: This is already amazing, that by summing up harmonically related sinusoids (with suitable amplitudes and lagging) we can analyse any repeating waveform as a sum Read More…

Logic and First Principles of right reason Mathematics Philosophy Science, Mathematics, Philosophy and (Natural) Theology Selective Hyperskepticism

Logic and first principles, 5: The mathemat-ICAL ordering of reality

As we continue to explore the significance of logic, the pivotal importance of Mathematics (and of the mathemat-ICAL ordering of reality) has come up. Where, we can best understand mathematics in two frames by using a definition with a bracket: Mathematics is [the study of] the logic of structure and quantity. The study part is Read More…

Back to Basics of ID Darwinist rhetorical tactics Epistemology (the study of knowledge and its conditions) Logic and First Principles of right reason Mathematics Science, Mathematics, Philosophy and (Natural) Theology Selective Hyperskepticism

Logic & First Principles, 4: The logic of being, causality and science

We live as beings in a world full of other concrete entities, and to do science we must routinely rely on mathematics and so on numbers and other abstract objects. We observe how — as just one example — a fire demonstrates causality (and see that across time causality has been the subject of hot Read More…

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Silenced! Selectivity too close to truth?

Should science pursue truth regardless of consequences? Or must we succumb to political correctness? Must selectivity of females always equal males? Consider: Academic Activists Send a Published Paper Down the Memory Hole – by Theodore P. Hill “In the highly controversial area of human intelligence, the ‘Greater Male Variability Hypothesis’ (GMVH) asserts that there are Read More…

Epistemology (the study of knowledge and its conditions) Logic and First Principles of right reason Mathematics Science, Mathematics, Philosophy and (Natural) Theology warrant, knowledge, science and belief

Mathematical Realism/ Platonism (and Nesher on Godel’s Option C)

As we continue to explore the mathematical domain of abstract reality and objective truth, we come to first the Godel point (as summarised by Nesher): where, recall, the domain of facts starts with something like the surreal world of numbers: and then also, we come to the world of Mathematical Platonism/ Realism. So, let me Read More…

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Sev, JDK, the value of philosophy [esp. metaphysics] and addressing the intersubjective consensus challenge

In the PZM on the state of atheism thread, some key fundamental issues have emerged: JDK, 12: >>to both ba[77] and kf: because I think your belief in the power and importance of metaphysical philosophy is excessive and misguided . . . >> Sev, 17: >>[to BA77,] You consistently ignore the possibility that a consensus Read More…

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My conclusion (so far) on the suggested infinite past, beginningless physical world: not plausible, likely not possible, here’s why

One of the more astonishing points of debate that has come out at UD is that at least some defenders of the evolutionary materialistic view are prepared to argue for or assume as default that we have had a beginningless past for the physical world.  This has come up several times in recent years and Read More…

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Fun with the hyperreal numbers (and with the idea of an infinite actual past)

The hyperreals are an extension of the real number line that brings to bear a reciprocal relationship between the very large and the very small. By so introducing extensions to the real number continuum, it forms a base for an infinitesimals approach to the calculus and makes sense of a lot of the tricks used Read More…

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DI Fellow, David Berlinski: “There is no argument against religion that is not also an argument against mathematics”

He continues (HT, BA77): >>Mathematicians are capable of grasping a world of objects that lies beyond space and time …. … Come again … DB: No need to come again: I got to where I was going the first time. The number four, after all, did not come into existence at a particular time, and Read More…