mathematical logical symbol

In logical argument and mathematical proof, the therefore sign, ∴, is generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in … Wikipedia
Factsheet
Therefore sign
In Unicode U+2234 ∴ THEREFORE (∴, ∴, ∴)
Different from U+2235 ∵ BECAUSE
Factsheet
Therefore sign
In Unicode U+2234 ∴ THEREFORE (∴, ∴, ∴)
Different from U+2235 ∵ BECAUSE
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Wikipedia
en.wikipedia.org › wiki › Therefore_sign
Therefore sign - Wikipedia
1 month ago - In logical argument and mathematical proof, the therefore sign, ∴, is generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in an upright triangle and is read therefore.
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Wumbo
wumbo.net › symbols › therefore
Therefore Symbol (∴)
In mathematics, the “therefore” symbol () is used to indicate that a conclusion or consequence logically follows from the preceding statements or premises.
Discussions

What is this symbol and how do you use it?
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March 3, 2022
undergraduate education - The use of "$\therefore$" and "$\because$" - Mathematics Educators Stack Exchange
Very often, it is somewhat awkward to use "$\therefore$" and "$\because$" for proofs, because modus ponens, the most commonly used principle of deduction, contains three parts, while "$\therefore$" and "$\because$" are just two symbols. More on matheducators.stackexchange.com
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June 23, 2020
INSERT A THEREFORE symbol
In Word [& in Outlook email editing], you can also use Alt-t to get \ the symbol [which doesn't paste well in here]. ... I am using notepad. I want to use the character for the mathkematical logic "therefore. The MS Word version does not work for Notepad. I also want the other useful mathematical ... More on learn.microsoft.com
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361
March 9, 2011
Add three dots therefore symbol in writer
I was looking for the three dots of therefore symbol in libreoffice writer and formula. also the reciprocal symbol which is use for since or because. More on ask.libreoffice.org
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June 22, 2020
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HotSymbol
hotsymbol.com › symbol › therefore
∴ Therefore copy and paste - HotSymbol
Once you release the Alt key, the ∴ symbol will be displayed. This trick will work for other special characters also. To add the ∴ Therefore in HTML, you can use an HTML entity, an HTML code(decimal), and a Hex code. Use the shortcode section to copy the various shortcodes for the Therefore.
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Reddit
reddit.com › r/askmath › what is this symbol and how do you use it?
r/askmath on Reddit: What is this symbol and how do you use it?
March 3, 2022 - It means therefore. You use it before the last line of a series of equations to say therefore x = 4. It can also be used to apply rules or combine statements to prove a statement ... It’s my tattoo. It symbolizes the conclusion statement is coming. You only use it at the end of a proof immediately preceding the final sentence.
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Shutterstock
shutterstock.com › search › therefore-symbol-icon
Therefore Symbol Icon Royalty-Free Images, Stock Photos & Pictures | Shutterstock
Find Therefore Symbol Icon stock images in HD and millions of other royalty-free stock photos, illustrations and vectors in the Shutterstock collection. Thousands of new, high-quality pictures added every day.
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Google Groups
groups.google.com › g › microsoft.public.word.docmanagement › c › W2zUfNZglqg
where can I find the symbol for the word "therefore"?
Using the Symbol font can lead ... Operators" range accessed via Insert Symbol. The "Therefore" character is at 2234; type that code on the regular keyboard and then Alt-X....
Find elsewhere
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Story of Mathematics
storyofmathematics.com › therefore-math-symbol
The 'Therefore' Math Symbol Explained - Decoding Mathematical Logic
December 1, 2023 - The therefore symbol (∴) is a concise representation of the logical relationship between premises and conclusions in mathematical arguments. It signifies that a particular statement or proposition follows logically from the statements that ...
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Piliapp
piliapp.com › symbols › because-therefore
Because–Therefore Symbols ∵ ∴
The Because Symbol (∵) is used to signify a reason, while the Therefore Symbol () implies a result or conclusion derived from a preceding statement.
Top answer
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Is there any better alternative to the three-dot notation?

The usual general advice is to use words instead of symbols.

The best notation is no notation; whenever it is possible to avoid the use of a complicated alphabetic apparatus, avoid it. A good attitude to the preparation of written mathematical exposition is to pretend that it is spoken. Pretend that you are explaining the subject to a friend on a long walk in the woods, with no paper available; fall back on symbolism only when it is really necessary.

(Paul Halmos, How to Write Mathematics, p. 40.)

This applies particularly to the three-dot notation.

Do not misuse the implication operator ⇒ or the symbol ∴. The former is employed only in symbolic sentences; the latter is not used in higher mathematics.

Bad: a is an integer ⇒ a is a rational number.
Good: If a is an integer, then a is a rational number.
Bad: ⇒ x = 3.
Bad: ∴ x = 3.
Good: hence x = 3.
Good: and therefore x = 3.

Bad Theorem. n odd ⇒ 8|n² − 1.
Bad proof.
n odd ⇒ ∃j ∈ Z, n = 2j + 1;
∴ n² − 1 = 4j(j + 1);
∀j ∈ Z, 2 | j(j + 1) ⇒ 8 | n² − 1

This is a clumsy attempt to achieve conciseness via an entirely symbolic exposition.Combining words and symbols and adding some short explanations will improve readability and style.

(Franco Vivaldi, Mathematical Writing, p. 4 and 132.)

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The context isn't entirely clear so I'll assume this is about teaching. Then, I support Pedro's answer but also want to add that doing both verbal and symbolic versions may be a good idea. For example:

Theorem. A polynomial has a higher order than another if and only if its degree is higher.

In other words, for any two polynomials and , we have:

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Unicode Compart
compart.com › en › unicode › U+2234
“∴” U+2234 Therefore Unicode Character
U+2234 is the unicode hex value of the character Therefore. Char U+2234, Encodings, HTML Entitys:∴,∴,∴, UTF-8 (hex), UTF-16 (hex), UTF-32 (hex)
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Quora
quora.com › How-do-you-insert-the-therefore-symbol-in-Windows
How to insert the 'therefore' symbol in Windows - Quora
Answer (1 of 3): Therefore (∴) symbol can be insert in Ms Word using Alt Code (8756), pressing Alt X after 2234, selecting (∴) from symbols and Math Autocorrect Shortcut “\therefore“.
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PlanetMath
planetmath.org › thereforesign
therefore sign
March 22, 2013 - The therefore sign “ · ∴” is used especially in handwritten mathematical text as a shorthand of the or relations: It expresses that · S · 2 has been inferred from · S · 1 or from · S · 1 and some preceding facts. The sign is rather a punctuation mark than a symbol of logical ...
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YouTube
youtube.com › pickupbrain
Therefore symbol in Word using 4 different methods: Alt code, hidden shortcut and other methods - YouTube
There are 4 different ways to insert *Therefore symbol in Word* (∴) Method 1: Navigate to “Insert Menu“→ “Symbol” and click “more symbols” to open Symbols wi...
Published   September 14, 2020
Views   16K
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Ask LibreOffice
ask.libreoffice.org › english
Add three dots therefore symbol in writer - English - Ask LibreOffice
June 22, 2020 - I was looking for the three dots of therefore symbol in libreoffice writer and formula. also the reciprocal symbol which is use for since or because.
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SYMBL
symbl.cc › homepage › unicode › blocks › mathematical operators › miscellaneous mathematical symbols › therefore
∴ Therefore symbol meaning, copy and paste unicode character - (◕‿◕) SYMBL
January 1, 2023 - Therefore. Mathematical Operators. The symbol “Therefore” is included in the “Miscellaneous mathematical symbols” subblock of the “Mathematical Operators” block and was approved as part of Unicode version 1.1 in 1993.
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Mathematics Monster
mathematics-monster.com › symbols › Therefore.html
The "Therefore (∴)" Symbol
The symbol, often pronounced as "therefore", is widely used in both mathematics and logic. This symbol serves as a shorthand notation indicating a conclusion or a resultant deduction from previously stated facts or premises.
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Microsoft Learn
learn.microsoft.com › en-us › answers › questions › 4819860 › one-symbol-i-would-like-to-find-is-the-therefore-o
One symbol I would like to find is the 'Therefore' one, - Microsoft Q&A
September 16, 2012 - In the Symbols tab of the Symbols dialog select "Arial Unicde MS" font, then in the bottom right corner confirm that the "FROM:" field is set to "Unicode (hex)", then in the "Character code" field beside it type 2234.
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Quora
quora.com › Is-there-a-method-of-inserting-the-therefore-symbol-in-Word-without-a-keypad-on-the-keyboard-Apple
Is there a method of inserting the ‘therefore’ symbol in Word without a keypad on the keyboard (Apple)? - Quora
Answer: Yep. Use the shortcut Ctrl+Command+Space to bring up the Character Viewer. On the left, choose Math Symbols, and in the scroll bar area, click down once. You’ll see the ∴ symbol.