Displacement vs. arc length

As pointed out here, average speed does not equal the magnitude of average velocity. But the instantaneous speed does equal the magnitude of instantaneous velocity. For example, the average velocity of one orbit is zero but the average speed is positive. Consider a section of a curve as below: The arc length of this section […]

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Nominal breakthroughs

Modern science is quantitative, not qualitative. The top breakthroughs in modern science have broken through traditional distinctions of quality or kind. Consider the following: (1) Newton’s theory of gravitation broke through the traditional distinction between the sublunar and supralunar universe (e.g., the earth and the heavens). All motion is subject to the same laws. (2)

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Hartford Appeal

The 1975 Hartford Appeal deserves to be better known. It may be viewed here. A book was written about it: Against the World for the World: The Hartford Appeal and the Future of American Religion by Peter L. Berger and Richard John Neuhaus (New York: Seabury Press, 1976). A 40th year anniversary reflection was written

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Wise knowledge

Presuppositions are a priori suppositions, usually unstated. They are not inevitable. Presuppositions may be replaced with suppositions. That is, presuppositions may be made explicit. For example, someone might say, “I will flip a coin. If it is heads, I will adopt presupposition A; if it is tails, I will adopt presupposition B.” In that case,

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Middle ontologies

As the previous post noted here, nominalism seeks a minimal ontology, that is, a minimum of qualities. This qualitative parsimony leads toward the ultimate minimum ontology: an ontology of one. That is, the assertion that there is only one quality, one kind of stuff, whatever it may be called – matter, energy, or whatever. This

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Scientific nominalism

Nominalism has three senses: A denial of metaphysical universals. An emphasis on reducing one’s ontology to a bare minimum, on paring down the supply of fundamental ontological categories. A denial of “abstract” entities. William of Ockham, the name most associated with nominalism, agreed with the first and second senses, and in a lesser way, the

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Terminology discussion

In order to describe 3D time some new terms and new meanings for old terms have been introduced in this blog. The reasons for this are discussed in this post. It would be possible to add a prefix to terms already in use but that over-emphasizes the similarities – or opposition if a negative prefix

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Problems in mechanics, part 3

This post continues a series of problems (part 1 here, part 2 here) based on the website Free Solved Physics Problems, this time concentrating on dynamics problems for time-space corresponding to problems for space-time. Note: A newton is how much force is required to make a mass of one kilogram accelerate at a rate of

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Observation and transportation

Impossible objects such as the Necker cube above are drawings that appear as two different objects, in this case either a box standing out toward the lower left or toward the upper right. It can be seen as one or the other but not both simultaneously. 3D space and 3D time are like this. One

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We the people

The preamble to the U.S. Constitution reads: We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the

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