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able to resolve your differences and come to a better conclusion.
If a claim is true, it is factually correct; it is in line with reality. Arguments themselves are not true or false; their conclusions are true or false.
如果一个主张(claim)为真,那么它在事实上就是正确的;它与现实相符。论证本身不能说是真或假;它们的结论才是真或假。
The goal of an argument between two people should be to uncover assumptions, false premises, and errors in logic.
Image credit: Pixland/Thinkstock.
两个人之间进行论证的目标,应当是揭示假设、错误的前提和逻辑错误。
图片来源:Pixland/Thinkstock。
In most cases, we do not have access to truth with metaphysical certitude, so what we’re really looking for is something that is established to a sufficient degree that we can treat it as if it were a fact, although we know that all true statements are tentative in some way because they are dependent upon our incomplete current level of knowledge.
在大多数情况下,我们无法以形而上的确定性获得真理。因此,我们真正寻找的是:某件事已经被确立到足够的程度,使我们可以把它当作事实来对待;不过我们也知道,所有真陈述在某种程度上都是暂定的,因为它们依赖于我们当前尚不完整的知识水平。
If the logic works, then an argument is valid. One or more premises may still be wrong or unjustified, but an argument fails when it is impossible for the conclusion to be false if the premises are true.
如果逻辑成立,那么一个论证就是有效的(valid)。一个或多个前提仍可能是错误的或缺乏正当依据,但当在前提为真的情况下结论不可能为假时,论证就会失败。
译者注:原文此句中“fails(失败)”与“在前提为真时结论不可能为假”的表述存在疑似矛盾;后文明确将这一条件用于说明 valid(有效)。本译文按原文保留,未擅自改写。
An argument is sound when all of the premises are true and the logic is valid. The conclusion of a sound argument, therefore, must be true by definition; if the premises are true, then the conclusion must also be true.
当所有前提都为真且逻辑有效时,一个论证就是健全的(sound)。因此,健全论证的结论按定义必然为真;如果前提为真,那么结论也必然为真。
The conclusion of an unsound or invalid argument, however, may or may not be true. Demonstrating that an argument is unsound or invalid does not prove the conclusion to be false—it just removes that argument as justification for the conclusion.
然而,一个不健全或无效论证的结论可能为真,也可能不为真。证明一个论证不健全或无效,并不能证明其结论为假——这只意味着不能再把该论证作为该结论的依据。
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Deductive reasoning uses premises to connect to a conclusion. Deduction goes from the general to the specific. You start with some general statements, and then you deduce a specific instance that must be true if those general statements are themselves true.
演绎推理(deductive reasoning)利用前提连接到结论。演绎是从一般到具体。你从一些一般性陈述出发,然后推导出一个具体事例;只要这些一般性陈述本身为真,该具体事例就必然为真。
For example, if premise one is that all men are mortal and premise two is that Socrates is a man, then we can arrive at the conclusion that Socrates is therefore mortal.
例如,如果前提一是“所有人都会死”,前提二是“苏格拉底是人”,那么我们就可以得出结论:因此,苏格拉底会死。
Conclusions of deductive reasoning are positive assertions. They are truth statements—not value judgments, which involve subjectivity regarding what we believe. For example, there is no way to prove that Beethoven’s music is better than Mozart’s. Oftentimes, arguments involve one or more value judgments in the premises, and when you identify them, you can at least agree to disagree.
演绎推理的结论是肯定性断言。它们是关于真假的陈述,而不是价值判断;价值判断涉及我们所相信之事的主观性。例如,我们无法证明贝多芬的音乐优于莫扎特的音乐。论证往往在前提中包含一个或多个价值判断;当你识别出这些价值判断时,至少可以承认彼此意见不同。
In contrast to deductive reasoning, inductive reasoning goes from a specific observation to a general principle. Inductive reasoning is used to decide what is probably true based on observations. Science is largely based on inductive reasoning.
与演绎推理相反,归纳推理(inductive reasoning)从具体观察出发,归纳出一般原则。归纳推理用于根据观察判断什么可能是真的。科学在很大程度上建立在归纳推理之上。
For example, if premise one is that every swan that has ever been observed is white, we may come to the inductive conclusion that all swans are white. However, this statement is falsifiable; the observation of a single black swan will render the statement untrue. Then, the statement might have to be modified to the notion that most swans are white or, perhaps, that all swans except for the species of black swans are white.
例如,如果前提一是“迄今观察到的每一只天鹅都是白色的”,我们可能会归纳出“所有天鹅都是白色的”这一结论。然而,这个陈述是可证伪的;只要观察到一只黑天鹅,该陈述就会变成假的。于是,这个陈述可能必须修改为“多数天鹅是白色的”,或者也许修改为“除黑天鹅物种外,所有天鹅都是白色的”。
Types of Logical Fallacies
逻辑谬误的类型
Logical fallacies are arguments in which the conclusion does not have to be true if the premises are true. The generic term for this type of invalid logic is the non sequitur, which literally means “it does not follow”—or the conclusion does not follow from the premises. Essentially, logical fallacies are our mechanisms for rationalizing conclusions.
逻辑谬误是这样一类论证:即使前提为真,结论也不必然为真。这种无效逻辑的统称是不相干推论(non sequitur),字面意思是“它并不随之推出”——也就是结论并不能从前提中推出。从根本上说,逻辑谬误是我们用来合理化结论的机制。