Circular Argument

circular argument

[¦sər·kyə·lər ′är·gyə·mənt]
(mathematics)
An argument that is not valid because it uses the theorem to be proved or a consequence of that theorem that is not proven.

Circular Argument

 

(Latin, circulus in demonstrando or petitio principi ) a logical fallacy in which a consequent of the hypothesis of an argument is used as one of its premises, that is, a proposition is used for whose proof the same hypothesis must be used as a premise. Besides those trivial cases where the premise coincides with the hypothesis or is a reformulation of it, “masked” circularities are possible, in which a premise is equivalent to the hypothesis but does not resemble it in formulation. A circular “proof” is not a proof of its hypothesis; however, as a derivation of the hypothesis from an equivalent premise, it may play an important methodological role, namely, in revealing the equivalence. Examples of this are the attempts to prove Euclid’s fifth, or parallel, postulate using the theorem that the sum of the angles of any triangle equals 180°; the theorem, in turn, is proved by means of the fifth postulate.

IU. A. GASTEV

References in periodicals archive ?
Though a good way of pulling it off is to tell everyone your interiors are postmodern ironic There's a bit of me that worries about the circular argument of trend forecasting - the forecasters say it will be so, so the retailers stock it, so we buy it, so the forecasters must be right, so we'll listen to them next time and reinforce their power
Dennett's bloated tome is essentially one long circular argument.
Though a good way of pulling it off is to tell everyone your interiors are post-modern ironic There's a bit of me that worries about the circular argument of trend forecasting - the forecasters say it will be so, so the retailers stock it, so we buy it, so the forecasters must be right, so we'll listen to them next time and reinforce their power
The Wikipedia entry is clearer and simpler: a circular argument is "a logical fallacy in which the reasoner begins with what they are trying to end with".
It's a circular argument trotted out by people who like things just the way they are.
Another result was to eradicate the circular argument that our enemies often used when opposing our rights: Gay marriage is illegal, therefore it is bad, therefore it should remain illegal.
Jewell's circular argument won't get us anywhere we need to go.
Keep a calm, even tone and do not be baited into a circular argument.
The circular argument that goes on forever in the church deals with the ethos and ethics of "love.
Keavy Martin presents a circular argument in her academically-heavy Stories in a New Skin: Approaches to Inuit Literature.
It's a bit of a circular argument without an easy answer.
How valid is the circular argument that while Laiki was technically insolvent, with capital adequacy ratios significantly below the minimum required by European directives (8%), the bank could be considered as solvent for ELA purposes merely due to the prospect of a financial assistance programme for Cyprus that would include a few billions for its recapitalisation while the reluctance of the Christofias' government to reach agreement with the international lenders was making such a prospect unrealistic?