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The Mathematical Basis of the Phenomenal World | ||
| مجله پژوهش های فلسفی | ||
| مقاله 10، دوره 18، شماره 47، مرداد 1403، صفحه 161-188 اصل مقاله (491.4 K) | ||
| نوع مقاله: مقاله علمی- پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22034/jpiut.2024.62355.3811 | ||
| نویسنده | ||
| Bernard Riley* | ||
| Independent Researcher, UK | ||
| چکیده | ||
| In the Critique of Pure Reason Immanuel Kant said that cognition (objective perception) is acquired in the unity of sensibility (the receptivity of the mind to receive empirical representations of things, which yields intuitions) and the understanding (in which concepts – general representations of things – arise), and is mediated by the imagination. Here, it is shown that numbers, either pure or denominate, are cognized in the synthesis of intuition and mathematical concept, and that the phenomenal world of the cognizer is shaped accordingly. Any number can be related to any other number through a general mathematical formula conceived by the cognizer for the purpose. The judgment of the cognizer is manifest in the specifics of the mathematical relationship established between the two numbers in cognition. If the cognized number is the numerical value of a physical constant then in the (consistent) phenomenal world it will always have been of the value found in cognition, which explains why the universe seems to be fine-tuned for life. If the cognized number is the numerical value of a physical variable, then the number will be subject to change in accordance with physical laws. Symmetry is a recurrent feature of the phenomenology. A mathematical formula conceived by the cognizer may also relate, one to one, the numerical values of quantities in one set with the numerical values of quantities of different dimensionality in another set, which suggests that physical laws are human inventions and that causality is a pure concept of the understanding. | ||
| کلیدواژهها | ||
| number؛ cognition؛ concept؛ mathematics؛ science؛ phenomena | ||
| مراجع | ||
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Great Circle Mapper. (2024). https://www.greatcirclemapper.net/en/great-circle-mapper.html Greene, B. (2011). The Hidden Reality. Allen Lane. Kant, I. (1998) The Cambridge edition of the works of Immanuel Kant. Cambridge University Press. NASA. (2020). The nearest galaxies. Imagine the Universe. https://imagine.gsfc.nasa.gov/features/cosmic/nearest_galaxy_info.html NASA. (2024). Planetary fact sheet. Lunar and Planetary Science. https://nssdc.gsfc.nasa.gov/planetary/factsheet/ NIST. (2024). CODATA internationally recommended 2022 values of the fundamental physical constants. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cuu/constants/index.html Particle Data Group. (2024). The review of particle physics. Physical Review D 110, 030001 (2024). https://pdg.lbl.gov Planck Collaboration. (2020). Planck 2018 results. VI. Cosmological parameters. Astronomy and Astrophysics, 641, A6 (2020). https://arxiv.org/1807.06209 Randall, L., & Sundrum, R. (1999a). A large mass hierarchy from a small extra dimension. Physical Review Letters, 83, 3370-3373. https://arxiv.org/abs/hep-ph/9905221 Randall, L., & Sundrum, R. (1999b). An alternative to compactification. Physical Review Letters, 83, 4690-4693. https://arxiv.org/abs/hep-th/9906064 Riley, B. F. (2008). Standard Model scales from warped extra dimensions. Arxiv. https://arxiv.org/abs/0809.0111 [physics.gen-ph] Riley, B. F. (2013). The scales of atomic and particle physics in relation to Planck scale. Vixra. https://vixra.org/abs/1305.0061 [high energy particle physics] Riley, B. F. (2015). The cosmological constant from a distant boundary. Vixra. https://vixra.org/abs/1502.0017 [high energy particle physics] Riley, B. F. (2018a). The quantum/classical connection. Vixra. https://vixra.org/abs/1809.0329 [quantum gravity and string theory] Riley, B. F. (2018b). The quantised angular momenta of astronomical bodies. Vixra. https://vixra.org/abs/1811.0232 [quantum gravity and string theory] Riley, B. F. (2019). The mass of the Higgs boson. Vixra. https://vixra.org/abs/1910.0090 [quantum gravity and string theory] Riley, B. F. (2020). The act of measurement I: astronomical distances. Vixra. https://vixra.org/abs/2006.0247 [quantum physics] Riley, B. F. (2021). In the world of the observer. Vixra. https://vixra.org/abs/2108.0012 [quantum physics] Riley, B. F. (2022). How the observer creates reality? Vixra. https://vixra.org/abs/2205.0139 [quantum physics] Riley, B.F. (2003). A unified model of particle mass. Arxiv. https://arxiv.org/abs/physics/0306098 [physics.gen-ph] Slater, J. C. (1964). Atomic radii in crystals. Journal of Chemical Physics, 41, 3199-3204. | ||
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