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21 January 2024
- 02:0802:08, 21 January 2024 diff hist +21 m Nil No edit summary Tag: Visual edit
- 02:0802:08, 21 January 2024 diff hist +17 N Negligible Redirected page to Nil Tags: New redirect Visual edit: Switched
- 02:0702:07, 21 January 2024 diff hist +26 m Nil →References Tag: Visual edit
- 02:0302:03, 21 January 2024 diff hist +8 m Main Page →Featured pages Tag: Visual edit
- 02:0302:03, 21 January 2024 diff hist +21 N Sifference Redirected page to Integer current Tag: New redirect
- 02:0302:03, 21 January 2024 diff hist +21 N Difference Redirected page to Integer current Tags: New redirect Visual edit: Switched
- 02:0202:02, 21 January 2024 diff hist 0 m Integer No edit summary Tag: Visual edit
- 02:0202:02, 21 January 2024 diff hist +2 Integer No edit summary Tag: Visual edit
- 02:0202:02, 21 January 2024 diff hist +1,962 N 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..."
- 02:0202:02, 21 January 2024 diff hist −1,941 Integers Redirected page to Integer current Tag: New redirect
- 02:0102:01, 21 January 2024 diff hist +550 Pi Removed redirect to Π Tag: Removed redirect
- 02:0102:01, 21 January 2024 diff hist −550 Π Redirected page to Pi current Tag: New redirect
- 02:0002:00, 21 January 2024 diff hist +16 N Pi Redirected page to Π Tag: New redirect
- 01:5901:59, 21 January 2024 diff hist +22 N Functions Redirected page to Function current Tag: New redirect
- 01:5901:59, 21 January 2024 diff hist +1,281 N 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..."
- 01:5901:59, 21 January 2024 diff hist −1,260 Radicals Redirected page to Radical current Tag: New redirect
- 01:5901:59, 21 January 2024 diff hist +20 N Circles Redirected page to Circle current Tag: New redirect
- 01:5801:58, 21 January 2024 diff hist +28 N Whole quantity Redirected page to Natural number current Tag: New redirect
- 01:5801:58, 21 January 2024 diff hist +177 N 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."
- 01:5701:57, 21 January 2024 diff hist −149 Natural numbers Redirected page to Natural number current Tag: New redirect
- 01:5701:57, 21 January 2024 diff hist +2,785 N 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..."
- 01:5701:57, 21 January 2024 diff hist −2,768 Sets Redirected page to Set current Tag: New redirect
- 01:5601:56, 21 January 2024 diff hist +74 m Main Page →Featured pages Tag: Visual edit
- 01:5501:55, 21 January 2024 diff hist 0 Sequences Changed redirect target from Pagename to Sequence current Tag: Redirect target changed
- 01:5501:55, 21 January 2024 diff hist −1,968 Sequences Redirected page to Pagename Tag: New redirect
- 01:5501:55, 21 January 2024 diff hist +1,990 N 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..."
- 01:5401:54, 21 January 2024 diff hist +21 N Concepts Redirected page to Concept current Tags: New redirect Visual edit: Switched
- 01:5301:53, 21 January 2024 diff hist +6 Nil No edit summary Tag: Visual edit
- 01:5301:53, 21 January 2024 diff hist +17 N Infinitesimal Redirected page to Nil Tag: New redirect
- 01:5001:50, 21 January 2024 diff hist −46 Nil No edit summary Tag: Manual revert
- 01:4901:49, 21 January 2024 diff hist +46 Nil No edit summary Tag: Reverted
- 01:4701:47, 21 January 2024 diff hist +474 N 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
- 01:4101:41, 21 January 2024 diff hist +14 m Main Page →Featured pages Tag: Visual edit
- 01:2801:28, 21 January 2024 diff hist +4 m Main Page →Notation Tag: Visual edit
- 00:3100:31, 21 January 2024 diff hist +120 Π →The traditional concept Tag: Visual edit
- 00:2400:24, 21 January 2024 diff hist +2 m Circle →The traditional concept Tag: Visual edit
- 00:2300:23, 21 January 2024 diff hist +218 Circle →Circles Tag: Visual edit
- 00:1700:17, 21 January 2024 diff hist +588 Circle →Notes Tag: Visual edit
20 January 2024
- 23:5523:55, 20 January 2024 diff hist +193 Circle →Notes Tag: Visual edit
- 23:5123:51, 20 January 2024 diff hist +43 Circle No edit summary
- 23:5023:50, 20 January 2024 diff hist +1,271 Circle No edit summary Tag: Visual edit
- 23:3223:32, 20 January 2024 diff hist +3 File:Circle.png No edit summary Tag: Visual edit
- 23:3023:30, 20 January 2024 diff hist +19 N File:Circle.png No edit summary
- 23:2523:25, 20 January 2024 diff hist +178 Continuity →Examples Tag: Visual edit
- 23:2223:22, 20 January 2024 diff hist +57 N File:Continuous versus discontinuous.png No edit summary
- 23:2123:21, 20 January 2024 diff hist +435 N 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
- 23:0823:08, 20 January 2024 diff hist +35 Π →The traditional concept Tag: Visual edit
- 23:0723:07, 20 January 2024 diff hist +411 N 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
- 06:3706:37, 20 January 2024 diff hist +12 Main Page →Featured pages Tag: Visual edit
- 06:3706:37, 20 January 2024 diff hist −12 Main Page No edit summary Tag: Visual edit