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Combined display of all available logs of Objective Mathematics. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 01:55, 21 January 2024 Lfox talk contribs created page Sequence (Created page with "A '''sequence''' is a function which takes natural numbers as inputs, and returns numbers as outputs. == The Cauchy condition == Suppose that <math>\{ a_n \}_{n=1}^\infty</math> is a sequence that computes π. The practical question to answer, for someone computing this sequence on a computer, is "after how many steps can I stop running the computer program?" The answer is that you should wait until successive steps of the sequence vary by amounts sma...")
• 01:54, 21 January 2024 Lfox talk contribs created page Concepts (Redirected page to Concept) Tags: New redirect Visual edit: Switched
• 01:53, 21 January 2024 Lfox talk contribs created page Infinitesimal (Redirected page to Nil) Tag: New redirect
• 01:47, 21 January 2024 Lfox talk contribs created page Nil (Created page with "A quantity is said to be '''nil''' if it is small enough that it can be ignored. Nil is closely related to the standard mathematics concept of an infinitesimal, but it is not the same. Nil is also closely related to the concept of zero. == References == The concept of nil was brought to my attention by Harry Binswanger in his lecture [https://www.youtube.com/watch?v=GwHAObb7tt8 Saving Math from Plato]. [TODO rephrase or put this elsewhere in the document]") Tag: Visual edit
• 23:30, 20 January 2024 Lfox talk contribs created page File:Circle.png
• 23:30, 20 January 2024 Lfox talk contribs uploaded File:Circle.png
• 23:22, 20 January 2024 Lfox talk contribs created page File:Continuous versus discontinuous.png
• 23:22, 20 January 2024 Lfox talk contribs uploaded File:Continuous versus discontinuous.png
• 23:21, 20 January 2024 Lfox talk contribs created page Circle (Created page with "A '''circle''' is a closed curve on a plane, which is equidistant from a point. A circle should be distinguished from the closely related concept of a loop, or an <math>S^1</math>. To emphasize the distinction from loops, a circle is sometimes called a '''rigid circle'''. Circles are one of the central concepts objects of classical geometry. == Examples == === Circles === === Non-circles ===") Tag: Visual edit
• 23:07, 20 January 2024 Lfox talk contribs created page Π (Created page with "'''Pi''', or '''π''', is the ratio between the circumference and the diameter of a circle. The numerical value of π depends on context: which circle is under consideration, and how precise are one's measurements? == The traditional concept == Standard mathematics says that π is the ratio between the circumference and the diameter of a ''perfect'' circle. Consequently, π is an irrational number.") Tag: Visual edit
• 03:51, 20 January 2024 Lfox talk contribs created page File:Bernegger Manuale 136.jpg
• 03:51, 20 January 2024 Lfox talk contribs uploaded File:Bernegger Manuale 136.jpg
• 03:41, 20 January 2024 Lfox talk contribs created page File:617645 orig.png
• 03:41, 20 January 2024 Lfox talk contribs uploaded File:617645 orig.png
• 03:16, 20 January 2024 Lfox talk contribs created page Function (Created page with "A '''function''' is a machine that takes in one thing and spits out another. [TODO gross definition] == Examples == The following lines of C++ code are a function string reverseString(const string &s) { string returnStr = ""; for (int i = s.size() - 1; i >= 0; --i) { returnStr.append(s[I]); } return returnStr; }") Tag: Visual edit
• 02:52, 20 January 2024 Lfox talk contribs created page Natural numbers (Created page with "A '''natural number''' is [...] 1 is a symbol denoting the concept of a unit.") Tag: Visual edit
• 02:50, 20 January 2024 Lfox talk contribs created page Radicals (Created page with "I am not yet sure how to define radicals generally. == Square roots == The '''square root''' of a number <math>x</math>, denoted <math>\sqrt{x}</math>, is the side length of a square with area <math>x</math>. Loosely speaking, standard mathematics defines the square root of, say, 2, to be the positive number <math>r</math> such that <math>r^2 = 2 </math>. It is well known that no rational number satisfies that equation. Solutions to that equation can at...") Tag: Visual edit
• 01:14, 19 January 2024 Lfox talk contribs created page Objective Mathematics (Created page with "'''Objective Mathematics''' is an ongoing project which aims to make mathematics objective, by connecting it to reality. This will be done by painstakingly going through each math concept, and thinking about the concrete, perceptual data to which it ultimately refers. If a math concept is ''not'' reducible to perceptual concretes, it is invalid; it is a floating abstraction. Objective Mathematics rejects Platonism: math concepts are not Platonic f...") Tag: Visual edit
• 23:33, 18 January 2024 Lfox talk contribs created page Concept (Created page with "A '''concept''' is a mental unit [...]<ref>Rand, Ayn. ''Introduction to Objectivist Epistemology''. Penguin, 1990.</ref> Any page on the Objective Mathematics wiki is a concept. == Notion == A '''notion''' is a compound concept. A notion is like a concept, in the sense that it subsumes and includes an unlimited number of concretes. A notion is unlike a concept, in the sense that it might be made of other concepts. Examples: * 3 is a concept, but 16654 is a notio...") Tag: Visual edit
• 23:03, 18 January 2024 Lfox talk contribs created page Sets (Created page with "A '''set''' is a collection of existents, considered as a unit. == Infinite Sets == Objective Mathematics says that infinite sets are an invalid notion. In short, this is because an infinite set does not refer to anything that can be perceived. The concept in Objective Mathematics which is closest to that of an infinite set is that of a concept. === But what about extended objects? === There are an unlimited number of points on an extended object. It...") Tag: Visual edit
• 06:55, 17 January 2024 Lfox talk contribs created page Integers (Created page with "'''Integers''' are signed differences between whole quantities. In Objective Mathematics, the concept of integer is often denoted by a symbol, <math>\mathbb{Z}</math>. == Differences == The difference between two quantities A and B, is the quantity which would have to be added to the lesser quantity in order to make it equal to the greater quantity. In the case where there is no difference between A and B, we say that the difference between them is...") Tag: Visual edit
• 05:43, 17 January 2024 Lfox talk contribs created page Continuity (Created page with "'''Continuity''' is a concept denoting changes which do not happen very fast. Objective Mathematics does not draw sharp distinctions between continuity and gradualness, nor does it draw sharp distinctions between discontinuity and abruptness. All four concepts are first-level concepts, that is, they directly identify percepts. Whether a change is abrupt or gradual is a relative notion; a change may be identified as abrupt or gradual only when it is compared i...") Tag: Visual edit
• 01:28, 16 January 2024 Lfox talk contribs deleted page Concepts (content was: "See ITOE. [TODO]", and the only contributor was "Lfox" (talk))
• 01:27, 16 January 2024 Lfox talk contribs created page Concepts (Created page with "See ITOE. [TODO]") Tag: Visual edit
• 00:23, 16 January 2024 Lfox talk contribs created page Objective Mathematics:Copyrights (Created page with "The substantive text of the website is all (c) Liam Fox. The website itself was created using [https://github.com/wikimedia/mediawiki?tab=License-1-ov-file MediaWiki], which is licensed under the GNU GPL.")
• 00:16, 16 January 2024 Lfox talk contribs created page Sequences (created page) Tag: Visual edit
• 23:53, 15 January 2024 MediaWiki default talk contribs created page Main Page