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Wolfgang Smith

Wolfgang Smith is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Wolfgang Smith rather than just read about it. In short: Wolfgang Smith (February 18, 1930 – July 19, 2024) was an Austrian mathematician, physicist, philosopher of science, metaphysician, and member of the Traditionalist School. He wrote extensively in the field of differential geometry, as a critic of scientism and as a proponent of a new interpretation of quantum mechanics that draws heavily from premodern ontology and realism.

Wolfgang Smith — main illustration
Wolfgang Smith — illustration

Key takeaways

  • Wolfgang Smith belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Wolfgang Smith to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Wolfgang Smith from memory before moving on to harder problems.

Reference excerpt

Wolfgang Smith (February 18, 1930 – July 19, 2024) was an Austrian mathematician, physicist, philosopher of science, metaphysician, and member of the Traditionalist School. He wrote extensively in the field of differential geometry, as a critic of scientism and as a proponent of a new interpretation of quantum mechanics that draws heavily from premodern ontology and realism.

Biography Smith was born February 18, 1930, in Vienna. He graduated in 1948 from Cornell University with majors in philosophy, physics, and mathematics. Two years later he earned his M.S. in physics at Purdue University and ultimately his Ph.D. in mathematics at Columbia University. He worked as an aerodynamicist at Bell Aircraft Corporation in the early 1950s, and during this time researched and published on the problem of atmospheric reentry. He was a mathematics professor at MIT, UCLA and Oregon State University, doing research in the field of differential geometry and publishing in academic journals such as the Transactions of the American Mathematical Society, the Proceedings of the National Academy of Sciences, the American Journal of Mathematics, and others. He retired from academic life in 1992. In parallel with his academic duties, he developed philosophical inquiries in the fields of metaphysics and the philosophy of science, publishing in specialized journals such as The Thomist, Sacred Web: A Journal of Tradition and Modernity, and Sophia: The Journal of Traditional Studies. Smith died in Ventura, California at the age of 94.

Philosophical work Smith was a member of the Traditionalist School of metaphysics, having contributed extensively to its criticism of modernity while exploring the philosophical underpinnings of the scientific method and emphasizing the idea of bringing science back into a Platonist and Aristotelian framework of traditional ontological realism. Identifying with Alfred North Whitehead's critique of the "bifurcationism" and "physical reductionism" of scientism – i.e., the belief that, first, the qualitative properties of the objects of perception ("corporeal" objects) are ultimately distinct from their respective quantitative properties (the "physical" objects studied by the various sciences); and second, that physical objects are in fact all there is, meaning corporeal objects are reduced to their physical counterparts – Smith examines critically in his work Cosmos and Transcendence (1984) the Cartesian roots of modern science. Proceeding with his critique of scientism in his monograph, The Quantum Enigma (1995), Smith raised the questions of whether the scientific method is in fact dependent on the scientistic philosophy and, if it is not, whether linking it to other philosophical frameworks would provide better solutions to the way physical phenomena are interpreted. Demonstrating that neither the scientific method nor its results require adhering to a scientistic metaphysics, he answered in the negative to the first question, resulting in the conclusion that it is possible to link the scientific method to any underlying ontology, or to none at all. Working then into the second question, he proposed linking the scientific method – and thus the modern sciences – to a non-bifurcationist, non-reductionist metaphysics in the form of a modified Thomistic ontology, showing how such a move resolves the apparent incoherences of quantum mechanics. According to Smith, this interpretation of quantum mechanics allows for the usage of the hylomorphic concepts of potency and act to properly understand quantum superposition. For example, instead of considering that a photon is "simultaneously a wave and a particle" or "a particle in two distinct positions," one may consider that the photon (or any other physical object) at first does not exist in act, but only in potency; i.e., as "matter" in the hylomorphic meaning of the term, having the potential of becoming "a wave or a particle," or "of being here or there." Whether one of these outcomes will happen to this undifferentiated matter is dependent on the determination imposed upon it by the macroscopic corporeal object that provides its actualization. A photon, thus, would be no more strange for having many potentials than, say, an individual who has the "superposed" potentials of learning French and/or Spanish and/or Greek, all the while reading and/or walking and/or stretching his arms. A further consequence of this interpretation is that a corporeal object and its "associated physical object" are not dichotomized or reduced one to the other anymore but, on the contrary, altogether constitute a whole of which different aspects are dealt with depending upon perspective. Smith's understanding of the relationship between corporeal and physical objects extends to his interpretation of biology, where he became an opponent of Darwinian evolution, as the fundamental element in a species would be its form, not its causal history, which evolutionists favor. This led him to be a supporter of the intelligent design movement, though his own hylomorphic approach is not widely adopted by mainstream intelligent design theorists (who, like evolutionists, also favor causal history, albeit differently). Smith also took a stance towards a relativistic rehabilitation of geocentrism. He did not support a Ptolemaic or medieval geocentrism unequivocally, nor assert that heliocentrism is absolutely false. Rather, he argued that, according to the theory of relativity, both heliocentrism and geocentrism have scientific merit, insofar as scientific observation depends upon the reference frame of the observer. Consequently, any observations made from Earth (or any near-Earth satellites) are in effect geocentric.

Filmography Smith participated in Miracle (2019), a documentary by Mauro Ventura, with the participation of Raphael De Paola and Olavo de Carvalho. The End of Quantum Reality (2020), a documentary film about Smith's life and thought, ran in a limited national theatrical release in the U.S.

Select bibliography

Books

Articles

General Articles on philosophy, religion, physics and non-mathematical subjects in general:

Mathematics Academic articles on mathematics signed as "J. Wolfgang Smith":

See also

Quantum mechanics Philosophy of science Philosophy of physics Interpretation of quantum mechanics Philosophical realism Perennial philosophy Traditionalist School List of American philosophers

Notes

References

Illustrations

Wolfgang Smith illustration

Worked examples

Example 1 — a first encounter with Wolfgang Smith

Start with the simplest possible case. Write down what Wolfgang Smith claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Wolfgang Smith before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Wolfgang Smith ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Wolfgang Smith

In research
Wolfgang Smith appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Wolfgang Smith in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Wolfgang Smith is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1930 births, 2024 deaths, 20th-century American male non-fiction writers, so understanding it makes those chapters shorter.
In everyday life
Look for Wolfgang Smith outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Wolfgang Smith in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Wolfgang Smith means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Wolfgang Smith out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Wolfgang Smith in simple terms?

Wolfgang Smith (February 18, 1930 – July 19, 2024) was an Austrian mathematician, physicist, philosopher of science, metaphysician, and member of the Traditionalist School. He wrote extensively in the field of differential geometry, as a critic of scientism and as a proponent of a new interpretatio…

Why does Wolfgang Smith matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Wolfgang Smith?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Wolfgang Smith.

Tags

  • 1930 births
  • 2024 deaths
  • 20th-century American male non-fiction writers
  • 20th-century American mathematicians
  • 20th-century American non-fiction writers
  • 20th-century American philosophers
  • 20th-century Austrian male writers
  • 20th-century Austrian mathematicians
  • 20th-century Austrian non-fiction writers
  • 20th-century Austrian philosophers
  • 20th-century Roman Catholics
  • 21st-century American male non-fiction writers

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