Means and operations
The power means are defined for a set of real numbers, a1, a2, …, an: The best-known of these are the arithmetic, geometric, and harmonic means, with p = 1, p = –1, and p → 0:
The power means are defined for a set of real numbers, a1, a2, …, an: The best-known of these are the arithmetic, geometric, and harmonic means, with p = 1, p = –1, and p → 0:
History is diachronic. Science is synchronic. History is a narrative of time. Science is a theory of space. A scientist sees two things and notices their similarities. An historian sees two things and notices their differences. A scientist seeks what is universal that explains. An historian seeks what is unique that explains. For science the
Posts on science and history: 10/17/2018 – Science and history once more July 27, 2018 – Science or stories 3/13/2018 – Science and history again 2/19/2018 – Distinguishing history and science January 17, 2017 – Combining history and science September 19, 2016 – History and science once again December 15, 2015 – From history to
Most Christian congregations have an ethnos, a term from cultural anthropology for people with a common national or cultural tradition. Congregations are usually part of a larger network, denomination, or hierarchy, which has at least one ethnos. (Eastern) Orthodox autocephalous churches are national churches, which include the ethnos of their nation. The (Roman) Catholic church
We follow the presentation of Guy Moore, formerly of McGill University, online here. The Doppler effect is the phenomenon we have all noticed, that a sound produced by a moving source, or which you hear while you are moving, has its perceived frequency shifted. Spacetime (3+1) If a source of sound makes a sudden bang
The Bible includes a creation narrative of the universe in general and humanity in particular and a worldwide flood narrative. Are these accurate? That is usually interpreted as the question: are these the earliest accounts? Let’s see. There are many ancient accounts of creation (see here and here) and flood (see here and here). These
Speed of a motion is the time rate of length change, that is, the length interval with respect to a timeline interval without regard to direction. Pace of a motion is the space rate of time change, that is, the time interval with respect to a baseline interval without regard to direction. The symbol for
History within the bounds of science is surely the only genuine history. That should not be controversial. If perpetual motion machines are scientifically impossible, then claims that one was invented in the past must be rejected. Does history only within the bounds of science exclude the resurrection of Christ from history? No, since there is
Science is indifferent to metaphysics. This is seen in the break between science and philosophy in the 19th century, and before that in the rejection of metaphysics by early scientists such as Newton. The scientific community doesn’t make metaphysical arguments. The model science since classical times has been mathematics. The geometry of Euclid has been
The Bible is true. However, the Bible does not contain all truth. And the Bible does not meet every degree of precision. No book or set of books does. Is the Bible scientifically true? The Bible is better than scientifically true. The Bible is true without qualification. Science seeks truthlikeness. If parts of science are