device-56.home 2026-3-31:21:33:52

This commit is contained in:
oskar
2026-03-31 21:33:52 +02:00
parent 66ab1eb6d8
commit a025c2788e
15 changed files with 47758 additions and 78617 deletions

View File

@@ -36,5 +36,6 @@
"github-sync",
"note-aliases",
"share-note",
"templater-obsidian"
"templater-obsidian",
"link-tree"
]

View File

@@ -631,7 +631,7 @@
"prevs"
],
"lock_view": false,
"lock_path": "sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Brancato) Cantor Leibniz Spinoza.md"
"lock_path": "paradoxe des carrés.md"
},
"tree": {
"collapse": false,
@@ -651,7 +651,7 @@
"alias": false
},
"lock_view": false,
"lock_path": "algèbre.md"
"lock_path": "paradoxe des carrés.md"
}
},
"codeblocks": {

46904
.obsidian/plugins/link-tree/main.js vendored Normal file

File diff suppressed because one or more lines are too long

View File

@@ -0,0 +1,11 @@
{
"id": "link-tree",
"name": "Link Tree",
"version": "1.0.0",
"minAppVersion": "0.15.0",
"description": "View file links and backlinks as a recursively expandable, filterable list with editable text, combining the structure of outliners like Dynalist & WorkFlowy with the flexibility of Obsidian.",
"author": "Joshua Reinier",
"authorUrl": "https://joshuareinier.com",
"fundingUrl": "https://joshuareinier.com",
"isDesktopOnly": false
}

790
.obsidian/plugins/link-tree/styles.css vendored Normal file
View File

@@ -0,0 +1,790 @@
/* src/plugins/obsidian-link-tree/src/styles.css */
*,
::before,
::after {
--tw-border-spacing-x: 0;
--tw-border-spacing-y: 0;
--tw-translate-x: 0;
--tw-translate-y: 0;
--tw-rotate: 0;
--tw-skew-x: 0;
--tw-skew-y: 0;
--tw-scale-x: 1;
--tw-scale-y: 1;
--tw-pan-x: ;
--tw-pan-y: ;
--tw-pinch-zoom: ;
--tw-scroll-snap-strictness: proximity;
--tw-gradient-from-position: ;
--tw-gradient-via-position: ;
--tw-gradient-to-position: ;
--tw-ordinal: ;
--tw-slashed-zero: ;
--tw-numeric-figure: ;
--tw-numeric-spacing: ;
--tw-numeric-fraction: ;
--tw-ring-inset: ;
--tw-ring-offset-width: 0px;
--tw-ring-offset-color: #fff;
--tw-ring-color: rgb(59 130 246 / 0.5);
--tw-ring-offset-shadow: 0 0 #0000;
--tw-ring-shadow: 0 0 #0000;
--tw-shadow: 0 0 #0000;
--tw-shadow-colored: 0 0 #0000;
--tw-blur: ;
--tw-brightness: ;
--tw-contrast: ;
--tw-grayscale: ;
--tw-hue-rotate: ;
--tw-invert: ;
--tw-saturate: ;
--tw-sepia: ;
--tw-drop-shadow: ;
--tw-backdrop-blur: ;
--tw-backdrop-brightness: ;
--tw-backdrop-contrast: ;
--tw-backdrop-grayscale: ;
--tw-backdrop-hue-rotate: ;
--tw-backdrop-invert: ;
--tw-backdrop-opacity: ;
--tw-backdrop-saturate: ;
--tw-backdrop-sepia: ;
}
::backdrop {
--tw-border-spacing-x: 0;
--tw-border-spacing-y: 0;
--tw-translate-x: 0;
--tw-translate-y: 0;
--tw-rotate: 0;
--tw-skew-x: 0;
--tw-skew-y: 0;
--tw-scale-x: 1;
--tw-scale-y: 1;
--tw-pan-x: ;
--tw-pan-y: ;
--tw-pinch-zoom: ;
--tw-scroll-snap-strictness: proximity;
--tw-gradient-from-position: ;
--tw-gradient-via-position: ;
--tw-gradient-to-position: ;
--tw-ordinal: ;
--tw-slashed-zero: ;
--tw-numeric-figure: ;
--tw-numeric-spacing: ;
--tw-numeric-fraction: ;
--tw-ring-inset: ;
--tw-ring-offset-width: 0px;
--tw-ring-offset-color: #fff;
--tw-ring-color: rgb(59 130 246 / 0.5);
--tw-ring-offset-shadow: 0 0 #0000;
--tw-ring-shadow: 0 0 #0000;
--tw-shadow: 0 0 #0000;
--tw-shadow-colored: 0 0 #0000;
--tw-blur: ;
--tw-brightness: ;
--tw-contrast: ;
--tw-grayscale: ;
--tw-hue-rotate: ;
--tw-invert: ;
--tw-saturate: ;
--tw-sepia: ;
--tw-drop-shadow: ;
--tw-backdrop-blur: ;
--tw-backdrop-brightness: ;
--tw-backdrop-contrast: ;
--tw-backdrop-grayscale: ;
--tw-backdrop-hue-rotate: ;
--tw-backdrop-invert: ;
--tw-backdrop-opacity: ;
--tw-backdrop-saturate: ;
--tw-backdrop-sepia: ;
}
.fixed {
position: fixed;
}
.\!absolute {
position: absolute !important;
}
.absolute {
position: absolute;
}
.relative {
position: relative;
}
.sticky {
position: sticky;
}
.left-0 {
left: 0px;
}
.left-1\/2 {
left: 50%;
}
.top-0 {
top: 0px;
}
.top-1\/2 {
top: 50%;
}
.top-4 {
top: 1rem;
}
.z-10 {
z-index: 10;
}
.z-30 {
z-index: 30;
}
.z-40 {
z-index: 40;
}
.\!mx-0 {
margin-left: 0px !important;
margin-right: 0px !important;
}
.mx-1 {
margin-left: 0.25rem;
margin-right: 0.25rem;
}
.my-0 {
margin-top: 0px;
margin-bottom: 0px;
}
.my-1 {
margin-top: 0.25rem;
margin-bottom: 0.25rem;
}
.my-2 {
margin-top: 0.5rem;
margin-bottom: 0.5rem;
}
.my-4 {
margin-top: 1rem;
margin-bottom: 1rem;
}
.-mt-1 {
margin-top: -0.25rem;
}
.ml-1 {
margin-left: 0.25rem;
}
.ml-2 {
margin-left: 0.5rem;
}
.mr-1 {
margin-right: 0.25rem;
}
.mr-2 {
margin-right: 0.5rem;
}
.mt-1 {
margin-top: 0.25rem;
}
.mt-2 {
margin-top: 0.5rem;
}
.block {
display: block;
}
.inline {
display: inline;
}
.flex {
display: flex;
}
.grid {
display: grid;
}
.hidden {
display: none;
}
.aspect-square {
aspect-ratio: 1 / 1;
}
.\!h-fit {
height: -moz-fit-content !important;
height: fit-content !important;
}
.h-0 {
height: 0px;
}
.h-0\.5 {
height: 0.125rem;
}
.h-1 {
height: 0.25rem;
}
.h-1\.5 {
height: 0.375rem;
}
.h-12 {
height: 3rem;
}
.h-2 {
height: 0.5rem;
}
.h-3 {
height: 0.75rem;
}
.h-4 {
height: 1rem;
}
.h-6 {
height: 1.5rem;
}
.h-\[16px\] {
height: 16px;
}
.h-\[28px\] {
height: 28px;
}
.h-\[75vh\] {
height: 75vh;
}
.h-full {
height: 100%;
}
.h-line {
height: calc(var(--line-height-normal) * 1em);
}
.max-h-\[50\%\] {
max-height: 50%;
}
.max-h-\[calc\(28px\*2\+2px\)\] {
max-height: calc(28px * 2 + 2px);
}
.min-h-\[12px\] {
min-height: 12px;
}
.min-h-\[4px\] {
min-height: 4px;
}
.min-h-line {
min-height: var(--font-text-size);
}
.\!w-8 {
width: 2rem !important;
}
.\!w-full {
width: 100% !important;
}
.w-1 {
width: 0.25rem;
}
.w-1\.5 {
width: 0.375rem;
}
.w-16 {
width: 4rem;
}
.w-2 {
width: 0.5rem;
}
.w-3 {
width: 0.75rem;
}
.w-4 {
width: 1rem;
}
.w-6 {
width: 1.5rem;
}
.w-7 {
width: 1.75rem;
}
.w-8 {
width: 2rem;
}
.w-\[4em\] {
width: 4em;
}
.w-fit {
width: -moz-fit-content;
width: fit-content;
}
.w-full {
width: 100%;
}
.min-w-\[24px\] {
min-width: 24px;
}
.max-w-\[75\%\] {
max-width: 75%;
}
.flex-none {
flex: none;
}
.grow {
flex-grow: 1;
}
.-translate-x-1\/2 {
--tw-translate-x: -50%;
transform: translate(var(--tw-translate-x), var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));
}
.-translate-y-1\/2 {
--tw-translate-y: -50%;
transform: translate(var(--tw-translate-x), var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));
}
.cursor-grab {
cursor: grab;
}
.cursor-ns-resize {
cursor: ns-resize;
}
.cursor-pointer {
cursor: pointer;
}
.select-none {
-webkit-user-select: none;
-moz-user-select: none;
user-select: none;
}
.snap-x {
scroll-snap-type: x var(--tw-scroll-snap-strictness);
}
.snap-y {
scroll-snap-type: y var(--tw-scroll-snap-strictness);
}
.snap-mandatory {
--tw-scroll-snap-strictness: mandatory ;
}
.grid-cols-2 {
grid-template-columns: repeat(2, minmax(0, 1fr));
}
.flex-col {
flex-direction: column;
}
.flex-wrap {
flex-wrap: wrap;
}
.items-center {
align-items: center;
}
.justify-end {
justify-content: flex-end;
}
.justify-center {
justify-content: center;
}
.justify-around {
justify-content: space-around;
}
.space-x-1 > :not([hidden]) ~ :not([hidden]) {
--tw-space-x-reverse: 0;
margin-right: calc(0.25rem * var(--tw-space-x-reverse));
margin-left: calc(0.25rem * calc(1 - var(--tw-space-x-reverse)));
}
.space-x-2 > :not([hidden]) ~ :not([hidden]) {
--tw-space-x-reverse: 0;
margin-right: calc(0.5rem * var(--tw-space-x-reverse));
margin-left: calc(0.5rem * calc(1 - var(--tw-space-x-reverse)));
}
.space-x-4 > :not([hidden]) ~ :not([hidden]) {
--tw-space-x-reverse: 0;
margin-right: calc(1rem * var(--tw-space-x-reverse));
margin-left: calc(1rem * calc(1 - var(--tw-space-x-reverse)));
}
.space-y-2 > :not([hidden]) ~ :not([hidden]) {
--tw-space-y-reverse: 0;
margin-top: calc(0.5rem * calc(1 - var(--tw-space-y-reverse)));
margin-bottom: calc(0.5rem * var(--tw-space-y-reverse));
}
.overflow-hidden {
overflow: hidden;
}
.\!overflow-x-auto {
overflow-x: auto !important;
}
.overflow-x-auto {
overflow-x: auto;
}
.overflow-y-auto {
overflow-y: auto;
}
.overflow-x-hidden {
overflow-x: hidden;
}
.overflow-y-clip {
overflow-y: clip;
}
.truncate {
overflow: hidden;
text-overflow: ellipsis;
white-space: nowrap;
}
.whitespace-nowrap {
white-space: nowrap;
}
.break-words {
overflow-wrap: break-word;
}
.rounded {
border-radius: 0.25rem;
}
.rounded-checkbox {
border-radius: var(--checkbox-radius);
}
.rounded-full {
border-radius: 9999px;
}
.rounded-icon {
border-radius: var(--clickable-icon-radius);
}
.rounded-lg {
border-radius: 0.5rem;
}
.border {
border-width: 1px;
}
.border-t {
border-top-width: 1px;
}
.border-solid {
border-style: solid;
}
.\!border-none {
border-style: none !important;
}
.border-none {
border-style: none;
}
.border-faint {
border-color: var(--text-faint);
}
.border-muted {
border-color: var(--text-muted);
}
.\!bg-accent {
background-color: var(--text-accent) !important;
}
.\!bg-selection {
background-color: var(--text-selection) !important;
}
.bg-faint {
background-color: var(--text-faint);
}
.bg-gray-500\/5 {
background-color: rgb(107 114 128 / 0.05);
}
.bg-muted {
background-color: var(--text-muted);
}
.bg-primary {
background-color: var(--background-primary);
}
.bg-primary-alt {
background-color: var(--background-primary-alt);
}
.bg-red-500\/20 {
background-color: rgb(239 68 68 / 0.2);
}
.bg-red-800\/50 {
background-color: rgb(153 27 27 / 0.5);
}
.bg-secondary-alt {
background-color: var(--background-secondary-alt);
}
.bg-selection {
background-color: var(--text-selection);
}
.bg-transparent {
background-color: transparent;
}
.p-0 {
padding: 0px;
}
.p-0\.5 {
padding: 0.125rem;
}
.p-1 {
padding: 0.25rem;
}
.p-4 {
padding: 1rem;
}
.px-1 {
padding-left: 0.25rem;
padding-right: 0.25rem;
}
.px-4 {
padding-left: 1rem;
padding-right: 1rem;
}
.py-0 {
padding-top: 0px;
padding-bottom: 0px;
}
.py-0\.5 {
padding-top: 0.125rem;
padding-bottom: 0.125rem;
}
.py-1 {
padding-top: 0.25rem;
padding-bottom: 0.25rem;
}
.py-2 {
padding-top: 0.5rem;
padding-bottom: 0.5rem;
}
.pb-0 {
padding-bottom: 0px;
}
.pb-0\.5 {
padding-bottom: 0.125rem;
}
.pb-1 {
padding-bottom: 0.25rem;
}
.pb-2 {
padding-bottom: 0.5rem;
}
.pb-4 {
padding-bottom: 1rem;
}
.pl-1 {
padding-left: 0.25rem;
}
.pl-2 {
padding-left: 0.5rem;
}
.pl-6 {
padding-left: 1.5rem;
}
.pl-7 {
padding-left: 1.75rem;
}
.pr-2 {
padding-right: 0.5rem;
}
.pt-4 {
padding-top: 1rem;
}
.text-center {
text-align: center;
}
.text-right {
text-align: right;
}
.font-menu {
font-family: var(--font-interface);
}
.font-sans {
font-family: var(--font-text);
}
.font-serif {
font-family: var(--font-text);
}
.\!text-xs {
font-size: 0.75rem !important;
line-height: 1rem !important;
}
.text-base {
font-size: var(--font-text-size);
}
.text-lg {
font-size: 1.125rem;
line-height: 1.75rem;
}
.text-sm {
font-size: 0.875rem;
line-height: 1.25rem;
}
.text-xs {
font-size: 0.75rem;
line-height: 1rem;
}
.font-bold {
font-weight: 700;
}
.leading-line {
line-height: var(--line-height-normal);
}
.text-accent {
color: var(--text-accent);
}
.text-faint {
color: var(--text-faint);
}
.text-muted {
color: var(--text-muted);
}
.text-normal {
color: var(--text-normal);
}
.line-through {
text-decoration-line: line-through;
}
.opacity-0 {
opacity: 0;
}
.opacity-40 {
opacity: 0.4;
}
.opacity-50 {
opacity: 0.5;
}
.opacity-75 {
opacity: 0.75;
}
.\!shadow-none {
--tw-shadow: 0 0 #0000 !important;
--tw-shadow-colored: 0 0 #0000 !important;
box-shadow:
var(--tw-ring-offset-shadow, 0 0 #0000),
var(--tw-ring-shadow, 0 0 #0000),
var(--tw-shadow) !important;
}
.shadow-none {
--tw-shadow: 0 0 #0000;
--tw-shadow-colored: 0 0 #0000;
box-shadow:
var(--tw-ring-offset-shadow, 0 0 #0000),
var(--tw-ring-shadow, 0 0 #0000),
var(--tw-shadow);
}
.invert {
--tw-invert: invert(100%);
filter: var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow);
}
.filter {
filter: var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow);
}
.backdrop-blur {
--tw-backdrop-blur: blur(8px);
-webkit-backdrop-filter: var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia);
backdrop-filter: var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia);
}
.transition {
transition-property:
color,
background-color,
border-color,
text-decoration-color,
fill,
stroke,
opacity,
box-shadow,
transform,
filter,
-webkit-backdrop-filter;
transition-property:
color,
background-color,
border-color,
text-decoration-color,
fill,
stroke,
opacity,
box-shadow,
transform,
filter,
backdrop-filter;
transition-property:
color,
background-color,
border-color,
text-decoration-color,
fill,
stroke,
opacity,
box-shadow,
transform,
filter,
backdrop-filter,
-webkit-backdrop-filter;
transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);
transition-duration: 150ms;
}
.transition-colors {
transition-property:
color,
background-color,
border-color,
text-decoration-color,
fill,
stroke;
transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);
transition-duration: 150ms;
}
.transition-opacity {
transition-property: opacity;
transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);
transition-duration: 150ms;
}
.duration-1000 {
transition-duration: 1000ms;
}
.duration-300 {
transition-duration: 300ms;
}
.ease-in-out {
transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);
}
.ease-linear {
transition-timing-function: linear;
}
.hover\:border-b:hover {
border-bottom-width: 1px;
}
.hover\:border-normal:hover {
border-color: var(--text-normal);
}
.hover\:underline:hover {
text-decoration-line: underline;
}
.active\:\!w-full:active {
width: 100% !important;
}
.group:hover .group-hover\:opacity-100 {
opacity: 1;
}
.child\:relative > * {
position: relative;
}
.child\:h-full > * {
height: 100%;
}
.child\:w-1\/2 > * {
width: 50%;
}
.child\:w-1\/3 > * {
width: 33.333333%;
}
.child\:w-1\/4 > * {
width: 25%;
}
.child\:w-\[calc\(100\%\/7\)\] > * {
width: calc(100% / 7);
}
.child\:w-full > * {
width: 100%;
}
.child\:flex-none > * {
flex: none;
}
.child\:snap-start > * {
scroll-snap-align: start;
}
.child\:truncate > * {
overflow: hidden;
text-overflow: ellipsis;
white-space: nowrap;
}
.child\:p-2 > * {
padding: 0.5rem;
}
.child\:px-1 > * {
padding-left: 0.25rem;
padding-right: 0.25rem;
}
.child\:pb-0 > * {
padding-bottom: 0px;
}
@media (hover: hover) {
.mouse\:hover\:border:hover {
border-width: 1px;
}
.mouse\:hover\:border-solid:hover {
border-style: solid;
}
}

File diff suppressed because it is too large Load Diff

File diff suppressed because one or more lines are too long

View File

@@ -5,7 +5,7 @@
{
"id": 1,
"name": "Ma bibliothèque",
"lastUpdate": 1774977038624
"lastUpdate": 1774983831154
}
],
"renderCitations": true,

View File

@@ -15,6 +15,7 @@
"delayMilliSeconds": 20,
"disableSuggestionsDuringImeOn": true,
"disableSuggestionsInMathBlock": true,
"disableSuggestionsInCodeBlock": false,
"insertSpaceAfterCompletion": false,
"firstCharactersDisableSuggestions": ":/^",
"patternsToSuppressTrigger": [
@@ -31,7 +32,7 @@
"select": [
{
"modifiers": [],
"key": "Tab",
"key": "Enter",
"hideHotkeyGuide": false
}
],
@@ -40,10 +41,12 @@
"modifiers": [
"Shift"
],
"key": "Tab",
"key": "Enter",
"hideHotkeyGuide": false
}
],
"select with custom alias and add to aliases": [],
"select with query alias": [],
"up": [
{
"modifiers": [],
@@ -78,6 +81,7 @@
"currentVaultMinNumberOfCharacters": 2,
"includeCurrentVaultPathPrefixPatterns": "",
"excludeCurrentVaultPathPrefixPatterns": "",
"excludeCurrentVaultPathGlobPatterns": [],
"includeCurrentVaultOnlyFilesUnderCurrentDirectory": false,
"excludeCurrentVaultWordPatterns": [],
"enableCustomDictionaryComplement": false,
@@ -90,7 +94,11 @@
"displayedTextSuffix": " => ...",
"enableInternalLinkComplement": true,
"suggestInternalLinkWithAlias": true,
"preserveFirstLetterCaseOnInternalLink": false,
"excludeInternalLinkPathPrefixPatterns": "",
"excludeInternalLinkPathGlobPatterns": [],
"excludeSelfInternalLink": false,
"excludeExistingInActiveFileInternalLinks": false,
"updateInternalLinksOnSave": true,
"insertAliasTransformedFromDisplayedInternalLink": {
"enabled": false,
@@ -98,9 +106,14 @@
"after": ""
},
"frontMatterKeyForExclusionInternalLink": "",
"tagsForExclusionInternalLink": [],
"enableFrontMatterComplement": true,
"frontMatterComplementMatchStrategy": "inherit",
"insertCommaAfterFrontMatterCompletion": false,
"currentFileMinNumberOfCharactersForTrigger": 0,
"currentVaultMinNumberOfCharactersForTrigger": 0,
"customDictionaryMinNumberOfCharactersForTrigger": 0,
"internalLinkMinNumberOfCharactersForTrigger": 2,
"intelligentSuggestionPrioritization": {
"enabled": true,
"historyFilePath": "",

File diff suppressed because one or more lines are too long

17
Galileo Galilei.md Normal file
View File

@@ -0,0 +1,17 @@
---
up:
tags:
- "#t/personne"
aliases:
link: ""
---
```breadcrumbs
title: "Sous-notes"
type: tree
collapse: true
show-attributes: [field]
field-groups: [downs]
depth: [0, 0]
```

View File

@@ -1,5 +0,0 @@
---
up:
tags:
aliases:
---

12
paradoxe des carrés.md Normal file
View File

@@ -0,0 +1,12 @@
---
up:
tags:
aliases:
author:
- "[[Galileo Galilei|Galilée]]"
---
> [!PDF|yellow] [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Brancato) Cantor Leibniz Spinoza.pdf#page=3&selection=34,3,80,48&color=yellow|(Brancato) Cantor Leibniz Spinoza, p.3]]
> Starting from Galileo Galilei, mathematicians and philosophers debated on whether or not it was possible to conceive a number capable of expressing infinity and, if that was the case, which properties such number would have. Galilei concluded that this concept would inevitably lead to a contradiction, because admitting the possibility of an infinity expressed in numerical form means also admitting that infinity is somehow homogeneous to finite numbers, sharing then with them properties like « being greater than », « being equal to » and « being less than » something else. Intuitively, such properties do not seem to apply very well to the notion of infinity, because for instance the series of natural numbers and the series of their squares, if analysed in the same way of finite sets, dont seem to contain as many elements in the same interval, while at the same time they are both supposed to represent infinite sets, meaning that in infinity they should instead be equal. More precisely, it seems that in the same interval a one-to-one correspondence between the two sets cannot be established. Similar reflections lead Galilei to a position that will be very influential in the early modern period: pertaining infinity, qualifications such as less or greater have no place, meaning that an infinite number homogeneous to its finite numerical counterparts would represent a contradictory concept.

View File

@@ -12,6 +12,4 @@ year: 2021
> The main reason why Spinoza and Leibniz cannot be regarded, in Cantors mind, as true anticipators of his notion of infinity, is their rejection of the concept of an infinite number.
^rejection-of-infinite-number
> [!PDF|yellow] [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Brancato) Cantor Leibniz Spinoza.pdf#page=3&selection=34,3,80,48&color=yellow|(Brancato) Cantor Leibniz Spinoza, p.3]]
> Starting from Galileo Galilei, mathematicians and philosophers debated on whether or not it was possible to conceive a number capable of expressing infinity and, if that was the case, which properties such number would have. Galilei concluded that this concept would inevitably lead to a contradiction, because admitting the possibility of an infinity expressed in numerical form means also admitting that infinity is somehow homogeneous to finite numbers, sharing then with them properties like « being greater than », « being equal to » and « being less than » something else. Intuitively, such properties do not seem to apply very well to the notion of infinity, because for instance the series of natural numbers and the series of their squares, if analysed in the same way of finite sets, dont seem to contain as many elements in the same interval, while at the same time they are both supposed to represent infinite sets, meaning that in infinity they should instead be equal. More precisely, it seems that in the same interval a one-to-one correspondence between the two sets cannot be established. Similar reflections lead Galilei to a position that will be very influential in the early modern period: pertaining infinity, qualifications such as less or greater have no place, meaning that an infinite number homogeneous to its finite numerical counterparts would represent a contradictory concept.
^galileo-paradox
- mention du [[paradoxe des carrés]]

View File

@@ -7,7 +7,7 @@ tags:
```breadcrumbs
title: "Sous-notes"
type: tree
collapse: false
collapse: true
show-attributes: [field]
field-groups: [downs]
depth: [0, 0]