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Meaning of "modus tollens" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD MODUS TOLLENS

Literally: mood that denies.
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF MODUS TOLLENS

modus tollens  [ˈməʊdəs ˈtɒlˌɛnz] play
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GRAMMATICAL CATEGORY OF MODUS TOLLENS

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Modus tollens is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES MODUS TOLLENS MEAN IN ENGLISH?

Modus tollens

In propositional logic, modus tollens is a valid argument form and a rule of inference. The first to explicitly state the argument form modus tollens were the Stoics. The inference rule modus tollens, also known as the law of contrapositive, validates the inference from implies and the contradictory of, to the contradictory of. The modus tollens rule can be stated formally as: where stands for "P implies Q", stands for "it is not the case that Q". Then, whenever "" and "" each appear by themselves as a line of a proof, "" can validly be placed on a subsequent line. The history of the inference rule modus tollens goes back to antiquity. Modus tollens is closely related to modus ponens. There are two similar, but invalid, forms of argument: affirming the consequent and denying the antecedent.

Definition of modus tollens in the English dictionary

The definition of modus tollens in the dictionary is the principle that whenever a conditional statement and the negation of its consequent are given to be true, the negation of its antecedent may be validly inferred, as in if it's Tuesday this must be Belgium and this isn't Belgium so it's not Tuesday.

WORDS THAT RHYME WITH MODUS TOLLENS


Benz
bɛnz
cleanse
klɛnz
ens
ɛnz
Fens
fɛnz
gens
dʒɛnz
impatiens
ɪmˈpeɪʃɪˌɛnz
lens
lɛnz
persiennes
ˌpɜːsɪˈɛnz
sapiens
ˈsæpɪɛnz
TENS
tɛnz
Valens
ˈveɪlɛnz

WORDS THAT BEGIN LIKE MODUS TOLLENS

modular
modularised
modularity
modularized
modularly
modulate
modulation
modulative
modulator
modulatory
module
moduli
modulo
modulus
modulus of elasticity
modulus of rigidity
modus
modus operandi
modus ponens
modus vivendi

WORDS THAT END LIKE MODUS TOLLENS

achromatic lens
anamorphic lens
attollens
contact lens
fisheye lens
Fresnel lens
gas-permeable lens
macro lens
mirror lens
nolens volens
portrait lens
Saint Helens
soft contact lens
soft-focus lens
soft lens
sullens
telephoto lens
wide-angle lens
woollens
zoom lens

Synonyms and antonyms of modus tollens in the English dictionary of synonyms

SYNONYMS

Translation of «modus tollens» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF MODUS TOLLENS

Find out the translation of modus tollens to 25 languages with our English multilingual translator.
The translations of modus tollens from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «modus tollens» in English.

Translator English - Chinese

作案托伦斯
1,325 millions of speakers

Translator English - Spanish

tollens modus
570 millions of speakers

English

modus tollens
510 millions of speakers

Translator English - Hindi

ढंग TOLLENS
380 millions of speakers
ar

Translator English - Arabic

تولينز عمل
280 millions of speakers

Translator English - Russian

модус Tollens
278 millions of speakers

Translator English - Portuguese

Tollens modus
270 millions of speakers

Translator English - Bengali

মোড
260 millions of speakers

Translator English - French

modus tollens
220 millions of speakers

Translator English - Malay

Tol modus
190 millions of speakers

Translator English - German

Modus Tollens
180 millions of speakers

Translator English - Japanese

手口のトレンス
130 millions of speakers

Translator English - Korean

잠정 tollens
85 millions of speakers

Translator English - Javanese

Tollen mode
85 millions of speakers
vi

Translator English - Vietnamese

modus Tollens
80 millions of speakers

Translator English - Tamil

மோடஸ் டொனால்ஸ்
75 millions of speakers

Translator English - Marathi

वर्जन टोलन्स
75 millions of speakers

Translator English - Turkish

Modus tollens
70 millions of speakers

Translator English - Italian

Modus Tollens
65 millions of speakers

Translator English - Polish

Tollens modus
50 millions of speakers

Translator English - Ukrainian

модус Tollens
40 millions of speakers

Translator English - Romanian

Tollens modus
30 millions of speakers
el

Translator English - Greek

Tollens modus
15 millions of speakers
af

Translator English - Afrikaans

modus Tollens
14 millions of speakers
sv

Translator English - Swedish

Modus tollens
10 millions of speakers
no

Translator English - Norwegian

Modus tollens
5 millions of speakers

Trends of use of modus tollens

TRENDS

TENDENCIES OF USE OF THE TERM «MODUS TOLLENS»

The term «modus tollens» is normally little used and occupies the 133.927 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Little used
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/100
The map shown above gives the frequency of use of the term «modus tollens» in the different countries.
Principal search tendencies and common uses of modus tollens
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «modus tollens».

FREQUENCY OF USE OF THE TERM «MODUS TOLLENS» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «modus tollens» during the past 500 years. Its implementation is based on analysing how often the term «modus tollens» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about modus tollens

EXAMPLES

10 ENGLISH BOOKS RELATING TO «MODUS TOLLENS»

Discover the use of modus tollens in the following bibliographical selection. Books relating to modus tollens and brief extracts from same to provide context of its use in English literature.
1
Intimate Conflict: Contradiction in Literary and ...
Kant, in his discussions of contradiction in the Critique of Pure Reason and in his Logic (1800), defined the modus tollens, which he associates with Aufhebung, as one mode of reasoning which "proceeds from consequences to their grounds.
Brian Caraher, 1992
2
Reconstructing Reason and Representation
Consider Wason selection tasks where we use modus tollens correctly where cheater detection in social exchange contexts is involved, but violate modus tollens where it is not. On Fodor's view, we must "figure out" or "think" in such situations ...
Clarke
3
Reasoning: Studies of Human Inference and Its Foundations
A related question is whether this belief revision choice is made differently, depending on whether the belief state consisted of a modus ponens or modus tollens inference. From an AI model-theoretic viewpoint, modus ponens and modus ...
Jonathan E. Adler, Lance J. Rips, 2008
4
Artificial Intelligence
Modus Tollens takes the contradictory approach of Modus Ponens. With Modus Tollens, we assume that Q is false and then infer that the P must be false. Modus Tollens is defined as: P, (P->Q), not Q, therefore not P. Returning to our switch ...
M. Tim Jones
5
Proceedings of the Sixteenth Annual Conference of the ...
Therefore everybody who is in front of Hans is eliminated How should the method of elimination be described and what is the relation between this method and modus tollens? Let P be the goal predicate (e. g., "immediately behind Erik"), and  ...
Ashwin Ram, Kurt Eiselt, 1994
6
How to Prove It: A Structured Approach
The second rule, called modus tollens. says that if you know that P — > Q is true and Q is false, you can conclude that P must also be false. The validity of this rule can also be checked with truth tables, as you are asked to show in exercise 13.
Daniel J. Velleman, 2006
7
Mental Models In Cognitive Science: Essays In Honour Of Phil ...
The theory explains the established phenomena of conditional inference such as the difference in difficulty between the modus ponens and modus tollens inferences and it also makes novel predictions, some of which we have tested ...
Alan Garnham, Jane Oakhill, 2013
8
A Treatise of Legal Philosophy and General Jurisprudence
20,52 Normative Conditionals and Contraposition A second questionable inference concerns the use of the modus tollens schema:" (1) IF A THEN B; (2) NON B (3) NON A Modus tollens inferences are sound when applied to epistemic  ...
Enrico Pattaro, Hubert Rottleuthner, Aleksander Peczenik, 2007
9
Human Reasoning: The Psychology of Deduction
Consider the question of whether or not people have the competence to perform a Modus Tollens inference of the form If p then q, not-q, therefore not-p. One might think, naively, that the matter could be settled in quite a simple manner. All one ...
Jonathan St. B. T. Evans, Stephen E. Newstead, Ruth M. J. Byrne, 1993
10
Expert Systems and Probabilistic Network Models
Modus Ponens is a strategy that moves forward from the premise to the conclusion of a rule, whereas the Modus Tollens strategy moves backward from the conclusion to the premise. The two strategies should not be viewed as alternative but ...
Enrique Castillo, 1997

10 NEWS ITEMS WHICH INCLUDE THE TERM «MODUS TOLLENS»

Find out what the national and international press are talking about and how the term modus tollens is used in the context of the following news items.
1
Spectacle: The Astonishing Life of Darwinian Stupidity
In propositional logic there is a valid rule of inference called modus tollens, Latin for "the way that denies by denying." If A entails B, so that B is ... «American Thinker, Jun 15»
2
Yours affectionately, Charles
But then, as they say, one person's modus ponens is another's modus tollens, and silence may be the counsel of wisdom. Apart from the odd ... «London Review of Books, May 15»
3
A Big Man in the NBA, but Not on Campus at Columbia
“Modus ponens is O.K. when you're doing the informal proofs, but modus tollens can be tough,” Murphy said as he packed his books and pens. «New York Times, Mar 15»
4
Gay marriage will lead to straights not getting married, says Arizona
... here–I don't think it's possible that every one of these people just happened to be absent on the day they taught modus tollens in high school. «Death and Taxes, Sep 14»
5
The Size and Status of Jesus' Family
(one man's modus ponens is another's modus tollens). I think one could learn something from this process. For example, you might find that ... «Patheos, Jun 14»
6
Are There 'Other' Ways of Knowing?
For instance, if you have taken an introductory course in logic you will know – and perhaps can even demonstrate – that modus tollens is a valid form of ... «Philosophy Now, May 14»
7
Two Versions of the Moral Argument for God: Which is Best?
Craig's argument takes the logically valid form known in the field of logic as modus tollens. If the premises of a valid deductive argument are ... «Christian Post, Aug 13»
8
Review: Sky Scramble
Therefore, by Modus Tollens, … If that's a bicycle in interstellar space, I should pay more attention to the X-Games. Bertogames' Sky Scramble ... «Pocket Tactics, Jul 13»
9
Review by John Bolender
To take another example, Abramiuk engages in a lengthy discussion of modus ponens and modus tollens to elucidate the use of conditionals in ... «Metapsychology, May 13»
10
Your Thursday Olympic Viewing Guide
Australia beat China by 15 in the quarterfinals, and the U.S. beat China by 48 in the group stages. I believe it's modus tollens that tells us that ... «Grantland, Aug 12»

REFERENCE
« EDUCALINGO. Modus tollens [online]. Available <https://educalingo.com/en/dic-en/modus-tollens>. Apr 2024 ».
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