User contributions for Lfox

22 August 2024

• 15:1015:10, 22 August 2024 diff hist +179‎ m The Limits of Limits ‎ added figure Tag: Visual edit
• 15:0815:08, 22 August 2024 diff hist +81‎ N File:Geodesic vs 40th parallel .png ‎No edit summary current
• 14:4714:47, 22 August 2024 diff hist −236‎ m The Limits of Limits ‎No edit summary Tag: Visual edit
• 14:2014:20, 22 August 2024 diff hist +582‎ The Limits of Limits ‎ →‎Example: tangent lines Tag: Visual edit
• 06:4006:40, 22 August 2024 diff hist +352‎ The Limits of Limits ‎ →‎Example: tangent lines Tag: Visual edit
• 06:0906:09, 22 August 2024 diff hist +915‎ m The Limits of Limits ‎ →‎square root of 2 Tag: Visual edit
• 05:2605:26, 22 August 2024 diff hist +55‎ m Main Page ‎ →‎All Pages Tag: Visual edit
• 05:2405:24, 22 August 2024 diff hist +13,417‎ N The Limits of Limits ‎ Created page with "'''Essay prompt''': Is the idea of 'limit' indispensable? Neutral? A hindrance? I contend that ''some'' concept of limit is indispensable in mathematics, but that one must be very cautious in using standard mathematics' concept of limit. The focus of this essay is mainly negative. I criticize two common attitudes towards limits: the "empiricist" attitude, which believes in effect that we don't need limits at all, and the "rationalist" attitude (the attitude of modern..."
• 05:2005:20, 22 August 2024 diff hist +18‎ Limits (essay) ‎No edit summary current
• 04:4904:49, 22 August 2024 diff hist −5,223‎ Limits (essay) ‎ →‎starting over Tag: Visual edit
• 04:3804:38, 22 August 2024 diff hist +91‎ N File:Pictorial proof of geometric sum.png ‎No edit summary current
• 04:3304:33, 22 August 2024 diff hist +100‎ N File:Limit of circles.png ‎No edit summary current

21 August 2024

• 22:5222:52, 21 August 2024 diff hist +2‎ m Limits (essay) ‎ →‎Fact of reality 2: Tag: Visual edit
• 21:2621:26, 21 August 2024 diff hist +611‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit
• 20:3620:36, 21 August 2024 diff hist +667‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit
• 17:5717:57, 21 August 2024 diff hist +4,829‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit

20 August 2024

• 22:1622:16, 20 August 2024 diff hist +142‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 22:0022:00, 20 August 2024 diff hist +1,168‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit
• 21:1721:17, 20 August 2024 diff hist +323‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 16:5016:50, 20 August 2024 diff hist +2,384‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 15:1515:15, 20 August 2024 diff hist +185‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 00:4000:40, 20 August 2024 diff hist +1,615‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 00:0600:06, 20 August 2024 diff hist +573‎ Limits (essay) ‎No edit summary Tag: Visual edit

19 August 2024

• 23:5623:56, 19 August 2024 diff hist +685‎ Limits (essay) ‎No edit summary Tag: Visual edit: Switched

30 July 2024

• 00:5200:52, 30 July 2024 diff hist +287‎ m Multitude ‎No edit summary Tag: Visual edit
• 00:4900:49, 30 July 2024 diff hist +70‎ m Natural number ‎No edit summary current Tag: Visual edit

21 July 2024

• 04:5204:52, 21 July 2024 diff hist +2,791‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 03:2203:22, 21 July 2024 diff hist +365‎ N Occam's razor ‎ Created page with "Occam's razor is the principle that if a fact of reality admits multiple valid conceptual identifications, it is preferable identify it using concepts one already has. == Examples == === Kepler's law === Suppose you make some measurements and you find blahblahblah.[TODO] == The traditional concept == The traditional concept of Occam's razor is a mess. It says" current Tag: Visual edit
• 03:0103:01, 21 July 2024 diff hist +20‎ m Main Page ‎No edit summary Tag: Visual edit
• 03:0003:00, 21 July 2024 diff hist +2,647‎ N Limits (essay) ‎ Created page with "'''essay prompt''': Is the idea of 'limit' indispensable? Neutral? A hindrance? I contend that some concept of 'limit' is indispensable in mathematics, physics, and beyond. I will make this case inductively, beginning with an exposition of the facts of reality that gave rise to the need for such a concept, and concluding with a proper definition of 'limit'. [TODO maybe also talk about invalid versions of the concept?] == Fact of reality 1: == The Earth is a sphere, bu..." Tag: Visual edit
• 02:5802:58, 21 July 2024 diff hist +86‎ m Main Page ‎No edit summary Tag: Visual edit

8 July 2024

• 20:2120:21, 8 July 2024 diff hist +3‎ m Sequence ‎ →‎The problem with Cauchy current Tag: Visual edit
• 20:2020:20, 8 July 2024 diff hist +673‎ m Sequence ‎No edit summary Tag: Visual edit
• 20:0920:09, 8 July 2024 diff hist +976‎ Sequence ‎No edit summary Tag: Visual edit
• 18:5218:52, 8 July 2024 diff hist −40‎ m Real number ‎ →‎Examples current Tag: Visual edit
• 18:2518:25, 8 July 2024 diff hist +3,079‎ m E ‎No edit summary current Tag: Visual edit
• 17:2217:22, 8 July 2024 diff hist +757‎ N E ‎ Created page with "'''e''' is the == Geometric interpretation == thumb|" A ray through the unit hyperbola ''x''² − ''y''² = 1 at the point (cosh ''a'', sinh ''a''), where ''a'' is twice the area between the ray, the hyperbola, and the ''x''-axis. For points on the hyperbola below the ''x''-axis, the area is considered negative" [TODO] <math>\cosh(a)</math> and <math>\sinh(a)</math> are the <math>x</math> and <math>y</..." Tag: Visual edit
• 17:2017:20, 8 July 2024 diff hist +276‎ N File:1920px-Hyperbolic functions-2.svg.png ‎No edit summary current
• 17:1017:10, 8 July 2024 diff hist +8‎ m Main Page ‎ →‎All Pages Tag: Visual edit

5 July 2024

• 20:4420:44, 5 July 2024 diff hist +288‎ m Function ‎No edit summary Tag: Visual edit
• 20:3620:36, 5 July 2024 diff hist +656‎ Function ‎No edit summary Tag: Visual edit

3 July 2024

• 18:2118:21, 3 July 2024 diff hist +473‎ m Main Page ‎No edit summary Tag: Visual edit
• 18:0418:04, 3 July 2024 diff hist +106‎ m Main Page ‎No edit summary Tag: Visual edit
• 18:0218:02, 3 July 2024 diff hist +1,252‎ Main Page ‎No edit summary Tag: Visual edit
• 17:2517:25, 3 July 2024 diff hist +1,431‎ N Limit ‎ Created page with "The '''limit''' (of a Cauchy procedure) is the target which a Cauchy procedure approaches. [TODO ugh] == Examples == === Planes are the limit of increasingly large spheres === Work with 3 dimensional rectilinear coordinates, and consider some sequence of spheres, <math>C_1, C_2, \cdots </math> on the plane, where the sphere <math>C_n</math> is centered at <math>(0, 0, n) </math> and has radius <math>n</math>. Near the origin <math>(0,0,0)</math>, the sphere <math>C_n</..." current Tag: Visual edit
• 16:5916:59, 3 July 2024 diff hist +458‎ m Integer ‎ →‎Examples of integers current Tag: Visual edit
• 16:1916:19, 3 July 2024 diff hist +233‎ m Probability ‎ →‎The traditional concept current Tag: Visual edit

2 July 2024

• 20:4320:43, 2 July 2024 diff hist +1,683‎ m Magnitude ‎No edit summary current Tag: Visual edit
• 16:2616:26, 2 July 2024 diff hist +18‎ m Magnitude ‎No edit summary Tag: Visual edit
• 16:2616:26, 2 July 2024 diff hist +144‎ N Magnitude ‎ Created page with "A '''magnitude''' is a quantity with no restriction on how it can be divided into parts.<ref>Aristotle, ''Metaphysics'', Book V, Ch. 11-14</ref>" Tag: Visual edit