• Title/Summary/Keyword: Indicative Conditionals

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On the Recent Controversies surrounding the Uncontested Principle (논란 없는 원리를 둘러싼 최근 논란)

  • Choi, Won-Bae
    • Korean Journal of Logic
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    • v.14 no.3
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    • pp.85-100
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    • 2011
  • Recently Byeong Deok Lee has denied the validity of the so-called uncontested principle, which says that the indicative conditional implies the material conditional. I show that his denial means that modus ponens is not valid and that the truth-conditions of indicative conditionals are weaker than that of material conditionals. It seems that what made him hold this view is related to some misunderstanding of indicative conditionals.

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Indicative Conditionals Based on Inductive Reasoning (귀납추론에 토대한 직설법적 조건문)

  • Lee, Byeongdeok
    • Korean Journal of Logic
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    • v.17 no.1
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    • pp.197-217
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    • 2014
  • In my previous papers, I have argued that the so-called 'Uncontested Principle' does not hold for indicative conditionals based on inductive reasoning. This is mainly because if we accept that a material conditional '$A{\supset}C$' can be inferred from an indicative conditional based on inductive reasoning '$A{\rightarrow}_iC$', we get an absurd consequence such that we cannot distinguish between claiming 'C' to be probably true and claiming 'C' to be absolutely true on the assumption 'A'. However, in his recent paper "Uncontested Principle and Inductive Argument", Eunsuk Yang objects that my argument is unsuccessful in disputing the Uncontested Principle. In this paper, I show that his objections are irrelevant to my argument against the Uncontested Principle.

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The Uncontested Principle and Wonbae Choi's Objections (논란 없는 원리와 최원배 교수의 반론)

  • Lee, Byeong-Deok
    • Korean Journal of Logic
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    • v.15 no.2
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    • pp.273-294
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    • 2012
  • In my previous article "An Inferentialist Account of Indicative Conditionals" and "An Inferentialist Account of Indicative Conditionals and Hasuk Song's Objections", I argued that the so-called Uncontested Principle is not uncontestable. According to the Uncontested Principle, an indicative conditional '$A{\rightarrow}C$' logically implies a material conditional '$A{\supset}C$'. In his recent paper "On the Recent Controversies surrounding the Uncontested Principle" Wonbae Choi presents three objections to my claim. First, my denial of the Uncontested Principle implies rejecting modus ponens. Second, my denial of the Uncontested Principle is tantamount to taking the truth-conditions of an indicative conditional as weaker than those of a material conditional, which are usually taken to be the weakest among conditionals. Third, my view that we can warrantedly assert '$A{\rightarrow}C$' even when 'A ${\therefore}$ C' is inductively justified is based on a misunderstanding of the way in which indicative conditionals are justified. In this paper I argue that Choi's objections are all based on misunderstandings of my view. First, I do not deny the validity of modus ponens (as a form of deductive reasoning). Second, the fact that the inductive warrantability of 'A ${\therefore}$ C' does not imply the truth of '$A{\supset}C$' does not show that the truth-conditions of an indicative conditional is weaker than those of a material conditional. Third, Choi's claim that a contingent conditional '$A{\rightarrow}C$' is true only when 'C' can be deductively derived from 'A' in conjunction with a hidden premiss is not well grounded, nor does it fit the facts.

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An Inferentialist Account of Indicative Conditionals and Sellars-Brandom Semantics (직설법적 조건문에 대한 추론주의적 분석과 셀라스-브랜덤 의미론)

  • Lee, Byeongdeok
    • Korean Journal of Logic
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    • v.15 no.3
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    • pp.347-375
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    • 2012
  • In my article published in 2008, I offered an inferentialist account of indicative conditionals. In her recent paper, Professor Seawha Kim raises three objections. First, I misunderstand Sellars-Brandom in that I take only concept-constitutive inferences as materially valid inferences. Second, Sellars and Brandom talk about the common features of all kinds of conditionals including counterfactual conditionals, but I construe their view as the analysis of the indicative conditionals only. Third, either my analysis is incompatible with Sellars-Brandom inferentialism or my analysis is too general. In this paper I argue that Seawha Kim's objections are all based on insufficient understandings of Sellars's and Brandom's views. First, it is Sellars's view that materially valid inferences are restricted within concept-constitutive inferences. Second, neither Sellars nor Brandom proposes a specific theory about the indicative conditional. Instead, they argue for the expressive role of the conditional. What I accept from their views is this expressive role of the conditional. The detailed proposals about the indicative conditional in my aforementioned article are my own. Third, the differences among conditionals have no direct bearing on Sellars-Brandom inferentialism. In addition, the meaning and role of the conditional expression 'if-then' do not require more than what I have argued for it.

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Stalnaker's Theory of Indicative Conditionals (직설법적 조건문에 대한 스톨네이커의 해석)

  • Song, Ha-Suk
    • Korean Journal of Logic
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    • v.12 no.2
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    • pp.31-58
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    • 2009
  • This paper defends Stalnaker's theory of indicative conditionals. His theory consists of selection functions and pragmatic constraints. The selection function takes a certain possible world(W) and a proposition(A) to yield a possilble world that is similar to W and in which A is true. And the pragmatic constraints plays role to make selection functions apply just to indicative conditionals. According to Stalnaker, as indicative conditionals has strong truth-value, uncontested principle always holds but passage principle does not always hold. However, his theory can explain why passage principle sometimes holds by means of pragmatic constraints. Also, this paper argues that Stalnaker's theory is the most acceptable one among others, by replying to criticisms suggested by Adamsians and the problem raised by Gibbard and other criticisms.

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Two Kinds of Indicative Conditionals and Modus Ponens (두 가지 종류의 직설법적 조건문과 전건 긍정식)

  • Lee, Byeongdeok
    • Korean Journal of Logic
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    • v.16 no.1
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    • pp.87-115
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    • 2013
  • In my previous article "The Uncontested Principle and Wonbae Choi's Objections", I argued that the validity of modus ponens (as a deductive inference) is compatible with the claim that the Uncontested Principle is controversial. In his recent paper "The Uncontested Principle and Modus Ponens", Wonbae Choi criticizes my view again by making the following three claims: First, even though I do not take an inference of the form 'If A then (probably) C. A. $\therefore$ C' as an instance of modus ponens, this form of inference can be taken to be such an instance. Second, there is no grammatical indicator which allows us to distinguish between an indicative conditional based on a deductive inference and an indicative conditional based on an inductive inference, so that inferences based on these conditionals should not be treated as different types of inferences. Third, if we allow an indicative conditional based on an inductive inference, we thereby violate the so-called 'principle of harmony', which any logical concept should preserve. In this paper, I reply that his criticisms are all implausible.

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On the Inferentialist Analysis of the Indicative Conditional (직설법적 조건문에 대한 추론주의적 분석에 대하여)

  • Kim, Sea-Hwa
    • Korean Journal of Logic
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    • v.15 no.2
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    • pp.251-272
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    • 2012
  • Recently Professor Lee has suggested the analysis of the indicative conditional based on Sellars-Brandom's inferentialism. In this paper, I raise three questions. First, Professor Lee seems to misunderstand Sellars-Brandom in that he considers only the analytically valid arguments as materially valid inferences. Second, Professor Lee seems to misunderstand Sellars-Brandom in that whereas Sellars-Brandom talks about the common features of all kinds of conditionals including counterfactual conditionals, Professor Lee takes it as the analysis of the indicative conditional only. Third, either Professor Lee's analysis is incompatible with Sellars-Brandom inferentialism or his analysis is too general.

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Uncontested Principle revisited (논란 없는 원리를 재고함)

  • Yang, Eunsuk
    • Korean Journal of Logic
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    • v.15 no.3
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    • pp.323-347
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    • 2012
  • After Byeongdeok Lee(2008) argued against the so-called uncontested principle (UP), Song(2008) and Choi(2011) gave arguments against Lee(2008) and instead for UP. One important point to mention in their arguments is that they all accept that UP is justifiable in deduction. First, I show that there are some problems in their arguments. Next, I show that UP itself is not justifiable in deduction; it is only justifiable under some (restrictive) conditions.

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On a Supposed Counterexample to Modus Ponens (긍정논법 반례에 대한 선행연구와 확률)

  • Kim, Shin;Lee, Jinyong
    • Korean Journal of Logic
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    • v.18 no.3
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    • pp.337-358
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    • 2015
  • Vann Mcgee produced "counterexamples" to Modus Ponens in "A Counterexample to Modus Ponens". Discussions about the examples tended to focus on a probabilistic reading of conditional statements. This article attempts to establish both (1) Modus Ponens is a deductively valid rule of inference, and (2) the counterexample-like appearance of Mcgee's example can be (and should be) explained without making a reference to the notion of conditional probability. The reason why his examples seem to counter Modus Ponens is found rather within the ambiguity a conditional statement exhibits. That is, Mcgee's examples are cases of equivocation on the conditional statements involved.

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