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I briefly consider the Kuhnian notion of "paradigm shifts" applied to the history of mathematics and argue that the succession and intergenerational continuity of mathematical thought was undeservedly neglected in the historical studies. To…

历史与综述 · 数学 2018-12-04 Yuri I. Manin

We present a mathematical framework (referred to as Context-driven Actualization of Potential, or CAP) for describing how entities change over time under the influence of a context. The approach facilitates comparison of change of state of…

综合物理 · 物理学 2019-07-09 Liane Gabora , Diederik Aerts

Some of the assumptions of cosmology, as based on the simplest version of General Relativity, are discussed. It is argued that by slight modifications of standard gravitation theory, our notion of the sources of gravity {the right hand side…

广义相对论与量子宇宙学 · 物理学 2016-11-26 Adolfo Toloza , Jorge Zanelli

Being mathematics a natural language to Mankind and to physics, it must be constantly adapted to our necessities and our natural perception. Then, mathematical concepts are not absolute to reality. Although mathematical theories are…

综合物理 · 物理学 2007-05-23 Mauricio Ayala

Our knowledge about the universe has increased tremendously in the last three decades or so --- thanks to the progress in observations --- but our understanding has improved very little. There are several fundamental questions about our…

广义相对论与量子宇宙学 · 物理学 2017-08-22 T. Padmanabhan

There are (at least) four ways that an agent can acquire information concerning the state of the universe: via observation, control, prediction, or via retrodiction, i.e., memory. Each of these four ways of acquiring information seems to…

物理学史与哲学 · 物理学 2018-06-29 David Wolpert

Intuitively, the totality of physical reality -- the Cosmos -- has a beginning only if (i) all parts of the Cosmos agree on the direction of time (the Direction Condition) and (ii) there is a boundary to the past of all non-initial…

物理学史与哲学 · 物理学 2023-08-28 Daniel Linford

Arising out of an attempt at a new foundations of mathematics, in which relations are more primitive than sets, and out of the theoretical physicists' concept of underlying causes of empirical phenomena, the idea of a purely mathematical…

物理学史与哲学 · 物理学 2011-11-22 Helier Robinson

A geometric theory of brane-worlds with large or non-compact extra dimensions is presented. It is shown that coordinate gauge independent perturbations of the brane-world correspond to the Einstein-Hilbert dynamics derived from the…

高能物理 - 理论 · 物理学 2007-05-23 M. D. Maia , E. M. Monte

Einstein initially objected to the probabilistic aspect of quantum mechanics - the idea that God is playing at dice. Later he changed his ground, and focussed instead on the point that the Copenhagen Interpretation leads to what Einstein…

量子物理 · 物理学 2015-06-26 D. M. Appleby

Metaphysics is traditionally conceived as aiming at the truth -- indeed, the most fundamental truths about the most general features of reality. Philosophical naturalists, urging that philosophical claims be grounded on science, have often…

物理学史与哲学 · 物理学 2024-10-28 Raoni Arroyo , Matteo Morganti

Einstein's philosophy of physics (as clarified by Fine, Howard, and Held) was predicated on his Trennungsprinzip, a combination of separability and locality, without which he believed objectification, and thereby "physical thought" and…

量子物理 · 物理学 2016-09-08 N. P. Landsman

Sun Wu-k'ung, an immortal Monkey-King of Chaos learns modern physics from the Patriarch Bodhi and questions the Darwinian evolution. He finds that the modern physics indicates towards the intelligent design as a vastly more probably origin…

物理与社会 · 物理学 2014-11-18 Z. K. Silagadze

The aim of this essay is to propose a conception of mathematics that is fully consonant with naturalism. By that I mean the hypothesis that everything that exists is part of the natural world, which makes up a unitary whole.

物理学史与哲学 · 物理学 2015-06-12 Lee Smolin

If the universe expands exponentially without end, ``ordinary observers'' like ourselves may be vastly outnumbered by ``Boltzmann's brains,'' transient observers who briefly flicker into existence as a result of quantum or thermal…

高能物理 - 理论 · 物理学 2010-04-28 S. Carlip

A physical theory of the world is presented under the unifying principle that all of nature is laid out before us and experienced through the passage of time. The one-dimensional progression in time is opened out into a multi-dimensional…

综合物理 · 物理学 2016-07-01 David J. Jackson

The essay argues that the standard cosmological model is one sided and incomplete. Its recognition of the primacy of radiant energy has no rational justification and empirical verification and, therefore, is arbitrary and subjective. The…

物理学史与哲学 · 物理学 2020-12-24 Gennady Shkliarevsky

We present an extension of Staruszkiewicz's modification of the Schr\"{o}dinger equation which preserves its main and unique feature: in the natural system of units the modification terms do not contain any dimensional constants. The…

量子物理 · 物理学 2016-09-08 Waldemar Puszkarz

A realist description of our universe requires a twofold concept of locality. On one hand, there are the strictly Einstein-local interactions which generate the time evolution. On the other hand, the quantum state space calls for a…

量子物理 · 物理学 2013-08-27 Andreas O. Tell

Simonton (2006) makes the unwarranted assumption that nonmonotonicity supports a Darwinian view of creativity. Darwin's theory of natural selection was motivated by a paradox that has no equivalent in creative thought: the paradox of how…

种群与进化 · 定量生物学 2019-07-09 Liane Gabora