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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).

• 23:35, 27 January 2024 Lfox talk contribs created page Fraction (Created page with "A '''fraction''' is a concept which measures magnitude. == Rational numbers == Rational numbers, which we denote <math>\mathbb{Q}</math>, is concept of signed differences between fractions.") Tag: Visual edit
• 20:13, 26 January 2024 Lfox talk contribs created page Derivative (Created page with "Let <math>f : \mathbb{Q} \rightarrow \mathbb{Q}</math>, and let <math>\epsilon : \mathbb{Q}</math> be positive. We define <math>\Delta_\epsilon f : \mathbb{Q} \rightarrow \mathbb{Q}</math> by<math display="block">(\Delta_\epsilon f) (x) := \frac{f(x + \epsilon) - f(x)}{\epsilon}. </math>We say that <math>f</math> is '''differentiable''' if is .... nill whenever") Tag: Visual edit
• 20:07, 26 January 2024 Lfox talk contribs created page Differentiable (Redirected page to Derivative) Tags: New redirect Visual edit: Switched
• 22:28, 25 January 2024 Lfox talk contribs deleted page File:Cat mouse 2.jpg (content was: "== Summary == a picture of a cat", and the only contributor was "Lfox" (talk))
• 23:05, 24 January 2024 Lfox talk contribs created page Category:Irreducible primaries (Created page with "Similar to the categories Aristotle gave * Entity * Before, after * Existent * Set * Attribute * Relation * Quantity") Tag: Visual edit
• 08:41, 24 January 2024 Lfox talk contribs created page Ordering (Created page with "I don't really know what an '''ordering''' is. It has something to do with order and disorder, but I'm not clear on exactly what the relation is. It is also an interesting fact that the verb "to order" means both ''to give a command'', and ''to endow with order; to make something fit a certain pattern''. I doubt that this is a coincidence. Like, to order some books is to impose your will on them, by making them fit a certain pattern. == Examples == Library books are...") Tag: Visual edit
• 06:18, 24 January 2024 Lfox talk contribs created page Quantities (Redirected page to Quantity) Tag: New redirect
• 06:18, 24 January 2024 Lfox talk contribs created page Numbers (Redirected page to Quantity) Tag: New redirect
• 06:18, 24 January 2024 Lfox talk contribs created page Number (Redirected page to Quantity) Tag: New redirect
• 22:50, 23 January 2024 Lfox talk contribs created page Formalism (Created page with "'''Formalism''' is a philosophy of mathematics, which holds that math is just a game of formal symbol manipulation, and that mathematical objects ''per se'' don't exist at all. Formalism has the same flavor as subjectivism. Many formalists are only formalists with respect to some parts of math. This includes most working mathematicians, insofar as they hold formalist premises. For example, Hilbert held<ref>Brown, James R. ''Philosophy of Mathematics: An Introduction...") Tag: Visual edit
• 21:29, 23 January 2024 Lfox talk contribs created page Intuitionism (Created page with "'''Intuitionism''' is a philosophy of mathematics, which holds that mathematical objects exist in intuition. Intuitionism is based, fairly directly, on the philosophy of Immanuel Kant. == Examples == Bold mine. From Jacob Lurie, ''Higher Topos Theory''<ref>Lurie, Jacob. ''Higher Topos Theory''. Princeton, N.J., Princeton University Press, 2009.</ref>:<blockquote>Unfortunately, not every <math>\infty</math>-topos <math>\mathcal{X}</math> can be obtained as topol...") Tag: Visual edit
• 00:09, 22 January 2024 Lfox talk contribs created page Points (Redirected page to Point) Tags: New redirect Visual edit: Switched
• 19:10, 21 January 2024 Lfox talk contribs created page Platonism (Created page with "'''Platonism''' is a philosophy of mathematics which holds that mathematical concepts are real Platonism is one of the three philosophies which dominate modern mathematics, the others being Intuitionism and Formalism/Logicism. However, few if any mathematicians adhere consistently to any of those three philosophies. Platonism dates back to Plato and Socrates. The term "Platonism" is also sometimes used to refer to the philosophy of Plato generally.") Tag: Visual edit
• 05:36, 21 January 2024 Lfox talk contribs created page Line (Created page with "A '''line''' is a straight curve. Straightness is recognized perceptually. Lines are one of the central concepts of classical geometry. Unlike standard mathematics, the concept of a line in Objective Mathematics refers to real things, and real things have finite thicknesses and are never completely straight.") Tag: Visual edit
• 05:25, 21 January 2024 Lfox talk contribs created page Entity (Created page with "An '''entity''' is an irreducible primary, and can therefore only be defined ostensively. To get a better idea, <blockquote>This term [entity] may be used in several senses. If you speak in the primary sense, “entity” has to be defined ostensively—that is to say, by pointing. I can, however, give you three descriptive characteristics essential to the primary, philosophic use of the term, according to Objectivism. This is not a definition, because I’d have to rel...")
• 05:18, 21 January 2024 Lfox talk contribs created page File:Airbus A380.jpg (an airplane)
• 05:18, 21 January 2024 Lfox talk contribs uploaded File:Airbus A380.jpg (an airplane)
• 05:15, 21 January 2024 Lfox talk contribs created page File:Saturn on June 29, 2016 (31437313530).jpg (the planet Saturn)
• 05:15, 21 January 2024 Lfox talk contribs uploaded File:Saturn on June 29, 2016 (31437313530).jpg (the planet Saturn)
• 05:14, 21 January 2024 Lfox talk contribs created page File:Hot dog with mustard.png (a hot dog with mustard)
• 05:14, 21 January 2024 Lfox talk contribs uploaded File:Hot dog with mustard.png (a hot dog with mustard)
• 05:10, 21 January 2024 Lfox talk contribs created page File:Brick.jpg (a brick)
• 05:10, 21 January 2024 Lfox talk contribs uploaded File:Brick.jpg (a brick)
• 05:09, 21 January 2024 Lfox talk contribs created page File:Cat outside.jpg (a picture of a cat)
• 05:09, 21 January 2024 Lfox talk contribs uploaded File:Cat outside.jpg (a picture of a cat)
• 05:08, 21 January 2024 Lfox talk contribs created page File:Cat mouse 2.jpg (a picture of a cat)
• 05:08, 21 January 2024 Lfox talk contribs uploaded File:Cat mouse 2.jpg (a picture of a cat)
• 05:08, 21 January 2024 Lfox talk contribs created page Solid (Created page with "A '''solid''' or '''entity''' is an irreducible primary, and can therefore only be defined ostensively. To get a better idea, <blockquote>This term [entity] may be used in several senses. If you speak in the primary sense, “entity” has to be defined ostensively—that is to say, by pointing. I can, however, give you three descriptive characteristics essential to the primary, philosophic use of the term, according to Objectivism. This is not a definition, because I...") Tag: Visual edit
• 04:44, 21 January 2024 Lfox talk contribs created page Point (Created page with "A '''point''' is a solid of nill depth, breadth, and width.<ref>I got the idea for this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s</ref> == See also == * Set#Infinite_sets for a discussion of the difference between a physical point and a focal point. == References ==") Tag: Visual edit
• 04:40, 21 January 2024 Lfox talk contribs created page Curve (Created page with "A '''curve''' is a solid of nill breadth and depth.") Tag: Visual edit
• 04:35, 21 January 2024 Lfox talk contribs created page Surface (Created page with "A '''surface''' is a volume of nill depth. == References == I got this definition from HB https://www.youtube.com/watch?v=GwHAObb7tt8&t=1301s") Tag: Visual edit
• 04:30, 21 January 2024 Lfox talk contribs created page Nill (Created page with "A quantity is said to be '''nill''', or '''negligible''', if it is small enough that it can be ignored. Nill is closely related to the standard mathematics concept of an '''infinitesimal''', but it is not the same. Nill is also closely related to the concept of zero, but is not the same. == References == The name nill for this concept was coined by Harry Binswanger in his lecture [https://www.youtube.com/watch?v=GwHAObb7tt8 Saving Math from Plato]. [TODO r...") Tag: Visual edit: Switched
• 04:15, 21 January 2024 Lfox talk contribs deleted page Few (content was: "#REDIRECTMultiplicity", and the only contributor was "Lfox" (talk))
• 04:13, 21 January 2024 Lfox talk contribs created page Few (Redirected page to Multiplicity) Tag: New redirect
• 04:12, 21 January 2024 Lfox talk contribs created page Quantity (Created page with "'''Quantity''' is an irreducible attribute of existents, and therefore it admits only an ostensive definition. When one says that there is ''more'' or ''as much'' or ''less'' of A than there is of B, he is comparing the quantity of A to the quantity of B. We observe that quantity comes in two forms: there are quantities which are discrete, and quantities which are continuous. Numbers are concepts that measure quantity. Discrete quantities are measured by natural...") Tag: Visual edit
• 03:51, 21 January 2024 Lfox talk contribs created page Fractions (Redirected page to Fraction) Tag: New redirect
• 03:38, 21 January 2024 Lfox talk contribs created page Definition (Redirected page to Concept#Definition) Tags: New redirect Visual edit: Switched
• 03:27, 21 January 2024 Lfox talk contribs created page Rigid circle (Redirected page to Circle) Tags: New redirect Visual edit: Switched
• 03:23, 21 January 2024 Lfox talk contribs created page Limits (Redirected page to Limit) Tags: New redirect Visual edit: Switched
• 02:08, 21 January 2024 Lfox talk contribs created page Negligible (Redirected page to Nil) Tags: New redirect Visual edit: Switched
• 02:03, 21 January 2024 Lfox talk contribs created page Sifference (Redirected page to Integer) Tag: New redirect
• 02:03, 21 January 2024 Lfox talk contribs created page Difference (Redirected page to Integer) Tags: New redirect Visual edit: Switched
• 02:02, 21 January 2024 Lfox talk contribs created page Integer (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...")
• 02:00, 21 January 2024 Lfox talk contribs created page Pi (Redirected page to Π) Tag: New redirect
• 01:59, 21 January 2024 Lfox talk contribs created page Functions (Redirected page to Function) Tag: New redirect
• 01:59, 21 January 2024 Lfox talk contribs created page Radical (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...")
• 01:59, 21 January 2024 Lfox talk contribs created page Circles (Redirected page to Circle) Tag: New redirect
• 01:58, 21 January 2024 Lfox talk contribs created page Whole quantity (Redirected page to Natural number) Tag: New redirect
• 01:58, 21 January 2024 Lfox talk contribs created page Natural number (Created page with "A '''natural number''' or '''whole quantity''' is a fundamental attribute of existents(?) Very hard to define... 1 is a symbol denoting the concept of a unit.")
• 01:57, 21 January 2024 Lfox talk contribs created page Set (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...")