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What do 3 dots in a triangle mean?

therefore sign 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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Mathematical logical symbol (∴)

∴ Therefore sign In Unicode U+2234 ∴ THEREFORE ( ∴, ∴, ∴ ) Related See also Similar signs (below) 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. While it is not generally used in formal writing, it is used in mathematics and shorthand.

History [ edit ]

According to Cajori, A History of Mathematical Notations, Johann Rahn used both the therefore and because signs to mean "therefore"; in the German edition of Teutsche Algebra (1659) the therefore sign was prevalent with the modern meaning, but in the 1668 English edition Rahn used the because sign more often to mean "therefore".[1]: vol. 1, p. 211 Other authors in the 18th century also used three dots in a triangle shape to signify "therefore", but as with Rahn, there wasn't much in the way of consistency as to how the triangle was oriented; because with its current meaning appears to have originated in the 19th century. In the 20th century, the three-dot notation for 'therefore' became very rare in continental Europe, but it remains popular in Anglophone countries.[1]

Example of use [ edit ]

Used in a syllogism:

All gods are immortal. Zeus is a god. ∴ Zeus is immortal.

and in mathematics

x + 1 = 10 ∴ x = 9

Other uses [ edit ]

In meteorology, the 'therefore' sign is used to indicate 'moderate rain' on a station model; the similar typographic symbol asterism (⁂, three asterisks) indicates moderate snow.[2][3]

Freemasonry [ edit ]

Grande Loge de France showing the symbol as a substitute for the dot of abbreviation A diploma from the Masonicshowing the symbol as a substitute for the dot of abbreviation In Freemasonry traditions, the symbol is used to indicate a Masonic abbreviation (rather than the period mark used conventionally with some abbreviations). For example, "R∴W∴ John Smith" is an abbreviation for "Right Worshipful John Smith" (the term Right Worshipful is an honorific and indicates that Brother Smith is a Grand Lodge officer).[4]

Unicode [ edit ]

The symbol has a Unicode code point at U+2234 ∴ THEREFORE ( ∴, ∴, ∴). See Unicode input for keyboard-entering methods.

Similar signs [ edit ]

The inverted form, ∵, known as the because sign, is sometimes used as a shorthand form of "because". The character ஃ (visarga) in the Tamil script represents the āytam, a special sound of the Tamil language. An asterism, ⁂, is a typographic symbol consisting of three asterisks placed in a triangle. Its purpose is to "indicate minor breaks in text", to call attention to a passage, or to separate sub-chapters in a book. It is also used in meteorology to indicate 'moderate snowfall'. The graphically identical sign ∴ serves as a Japanese map symbol on the maps of the Geographical Survey Institute of Japan, indicating a tea plantation. On some maps, a version of the sign with thicker dots, ⛬, is used to signal the presence of a national monument, historic site or ruins; it has its own Unicode code point.[5] In Norwegian and Danish, a superficially similar symbol was formerly used as an explanatory symbol (forklaringstegnet). It can be typeset using the open o followed by a colon, thus: ɔ:. It is used for the meaning "namely", id est (i.e.), scilicet (viz.) or similar.[6]

What are the 7 stages of grooming?

Grooming steps include: Identifying and targeting the victim. Any child or teen may be a potential victim. ... Gaining trust and access. ... Playing a role in the child's life. ... Isolating the child. ... Creating secrecy around the relationship. ... Initiating sexual contact. ... Controlling the relationship.

safechild.org - Understanding Grooming - Safe Child

Grooming Dynamic

Perpetrators of child sexual abuse (CSA) may gain the trust of potential child victims and their caregivers by methodically “grooming” them. This process begins with identifying potential victims, gaining their trust, and breaking down their defenses. These grooming tactics are often directed at potential youth victims as well as the adult caregivers—parents, other youth-serving professionals, and the community-at-large. After gaining access to children and youth by achieving this trust, the perpetrator initiates some kind of contact that s/he finds sexually gratifying. This sexual contact may range from voyeurism to rape and other forms of child sexual abuse. Grooming helps the offender gain access to the victim, and sets up a relationship grounded in secrecy so that the crime is less likely to be discovered. Perpetrators of child sexual abuse are often individuals known to the family; they may be acquaintances, influential members of the community, trusted friends and even family members. Sometimes the offender is known to the family through association with an organization or activity in which the child or youth participates, such as school a community club, sports team, recreation center or camp. One reason that the perpetrator is able to exploit the child is because he or she holds the power in the relationship based on age and experience, size and strength, and adult status. A perpetrator may manipulate and use those power differences to gain the youth’s trust and confidence, and/or to create fear that enables the perpetrator to coerce the child or youth. (Note that this is not common in all cases of CSA; in many scenarios, there is NO trust at all, only coercion and fear.)