Are Some Modus Ponens Arguments Deductively Invalid?

نویسندگان

  • DOUGLAS N. WALTON
  • Douglas N. Walton
چکیده

This article concerns the structure of defeasible arguments like: 'if Bob has red spots, Bob has the measles; Bob has red spots; therefore Bob has the measles.' The issue is whether such arguments have the form of modus ponens or not. Either way there is a problem. If they don't have the form of modus ponens, the common opinion to the contrary taught in leading logic textbooks is wrong. But if they do have the form of modus ponens, doubts are raised about the conventional dogma that all arguments having the form of modus ponens are deductively valid. By carefully examining arguments on both sides of the issue, reasonable doubts are raised about the view that all arguments having a modus ponens form are val i d. University of Winnipeg Resume: On concentre notre attention sur la structure des arguments tels que "Si Bob a des papules rouges, il a la rougeole; Bob a des papules rouges; donc il a la rougeole". Le point en litige est a savoir si de tels arguments ont la formc de modus ponens. S'ils n'ont pas cette formc, alors l'opinion courante exprimee dans les principaux manuels de l ogique est erronee. Mais s'ils ont la forme de modus ponens, on souleve des doutes au sujet du dogme conventionnel selon lequel tout argument ayant cette forme est valide. Un examinant soigne des arguments opposes constituant cette controverse fait soulever des doutes raisonnables sur I'avis que tout argument ayant la forme de modus ponens est valide.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Premise Interpretation in Conditional Reasoning

2 Premise Interpretation in Conditional Reasoning Conditional sentences are pervasive in human communication. Many arguments contain conditional premises or a conditional conclusion. The expression conditional reasoning could appropriately be applied to such arguments. However, there is a tradition in psychological research, which will be followed here, to restrict the use of this expression to...

متن کامل

Intelligent Design and Probability Reasoning

This paper defends two theses about probabilistic reasoning. First, although modus ponens has a probabilistic analog, modus tollens does not – the fact that a hypothesis says that an observation is very improbable does not entail that the hypothesis is improbable. Second, the evidence relation is essentially comparative; with respect to hypotheses that confer probabilities on observation statem...

متن کامل

Human reasoning with imprecise probabilities: Modus ponens and denying the antecedent

The modus ponens (A → B, A ∴ B) is, along with modus tollens and the two logically not valid counterparts denying the antecedent (A → B,¬A ∴ ¬B) and affirming the consequent, the argument form that was most often investigated in the psychology of human reasoning. The present contribution reports the results of three experiments on the probabilistic versions of modus ponens and denying the antec...

متن کامل

A Historically Informed Modus Ponens Against Scientific Realism: Articulation, Critique, and Restoration

There are two primary arguments against scientific realism, one pertaining to underdetermination, the other to the history of science. While these arguments are usually treated as altogether distinct, P. Kyle Stanford’s ‘problem of unconceived alternatives’ constitutes one kind of synthesis: I propose that Stanford’s argument is best understood as a broad modus ponens underdetermination argumen...

متن کامل

The Development of Modus Ponens in Antiquity: From Aristotle to the 2nd Century AD Author(s):

'Aristotelian logic', as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as 'hypothetical syllogisms'. However, Aristotle did not discuss such arguments, no...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003