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on the intelligibility of analyticity. This is circular, and so analytic truth |
is still not clarifi ed. |
P11. If English is not extensional (P9), and necessity statements are taken |
to be analytic (P10), then this view of synonymy does not then explain |
analyticity. |
C5. This view of synonymy does not then explain analyticity ( modus |
ponens , P11, conjunction, P9, P10). |
P11. Reductionism claims that any signifi cant nonanalytic statement is |
equivalent to a statement about sensory experience. The meaning of a |
statement is then directly tied to a set of sensory experiences. |
P12. Given this view, we can defi ne analytic truths as those statements |
confi rmed by every experience or, in other words, as statements that |
contain no empirical content or information. |
P13. However, the reductionism project cannot be completed because of |
holistic considerations that prevent a simple reduction of theoretical |
sentences to specifi c sensory experiences. |
P14. But if reductionism is untenable, then we cannot assign specifi c empirical |
content to individual sentences or then specify when a sentence is |
analytic in the sense of being confi rmed by any experience whatsoever. |
C6. There is then no way to use reductionism to clarify those statements |
which depend on sensory experience for their confi rmation and those |
that do not, that is, analytic truths. Reductionism then fails to clarify |
the distinction between analytic and synthetic statements ( modus |
ponens , P13, P14). |
C7. A consideration of these various proposals for clarifying analytic |
truths has shown them all to be wanting. We have no reason to hold |
such a fi rm distinction or the form of reductionism often used to |
support it. Both are dogmas of modern empiricism that should be |
rejected (conjunction, C2, C3, C4, C5, C6). |
45 |
Hume and the Problem |
of Induction |
Hume , David . An Enquiry concerning Human Understanding . Indianapolis : |
Hackett , 1993 . |
Editors β note: We have included two versions of Hume β s argument concerning |
induction in order to highlight different approaches to the seminal issue. |
Hume β s Problem of Induction |
James E. Taylor |
Hume β s argument for skepticism about induction presupposes his distinction |
between β relations of ideas, β which are intuitively or demonstratively |
certain because their denials are contradictory (e.g., β All bachelors are |
unmarried β ) and β matters of fact and existence, β which are not certain |
because their denials are possibly true (e.g., β The sun will rise tomorrow β ). |
Hume holds that all of our beliefs about matters of fact and existence are |
based on either the present testimony of our senses, our memories of what |
we have experienced on the basis of our senses, or reasoning about relations |
of cause and effect on the basis of our senses and memory beliefs. For |
instance, we infer that a friend of ours is in a distant place on the grounds |
that a letter we are currently looking at indicates that it was sent by our |
friend from that place; so we infer a currently unobserved cause from a |
currently observed effect of that cause. We also infer more generally from |
cause - and - effect relationships we have observed in the past that similar |
causes will have similar effects in the future. Thus, according to Hume, |
the foundation of all our reasoning about matters of fact and existence is |
experience. But Hume argues that these sorts of inferences from experience |
Just the Arguments: 100 of the Most Important Arguments in Western Philosophy, |
First Edition. Edited by Michael Bruce and Steven Barbone. |
Β© 2011 Blackwell Publishing Ltd. Published 2011 by Blackwell Publishing Ltd. |
Hume and the Problem of Induction 175 |
are not based on any further reasoning. The way this claim is typically put |
today is that there is no rational justifi cation for inductive inferences. If this |
claim is true, then no one can be rationally justifi ed in believing anything |
that goes beyond what one is currently observing, and if that is the case, |
then there is no rational justifi cation for any theory of empirical science. |
Since Hume was the fi rst philosopher to make this claim and argue for it, |
the problem facing philosophers who deny it is called β Hume β s Problem of |
Induction. β Though many attempts have been made to solve this problem, |
none of these attempts is widely believed to be successful. Consequently, |
Hume β s problem of induction continues to be a central topic of philosophical |
conversation. |
All reasonings may be divided into two kinds, namely, demonstrative |
reasoning, or that concerning relations of ideas, and moral reasoning, or that |
concerning matter of fact and existence. That there are no demonstrative |
arguments in the case seems evident; since it implies no contradiction that the |
course of nature may change, and that an object, seemingly like those which |
we have experienced, may be attended with different or contrary effects. May |
I not clearly and distinctly conceive that a body, falling from the clouds, and |
which, in all other respects, resembles snow, has yet the taste of salt or feeling |
of fi re? Is there any more intelligible proposition than to affi rm, that all the |
trees will fl ourish in December and January, and decay in May and June? |
Now whatever is intelligible, and can be distinctly conceived, implies no |
contradiction, and can never be proved false by any demonstrative argument |
or abstract reasoning a priori . |
If we be, therefore, engaged by arguments to put trust in past experience, |
and make it the standard of our future judgement, these arguments must be |
probable only, or such as regard matter of fact and real existence, according |
to the division above mentioned. But that there is no argument of this kind, |
must appear, if our explication of that species of reasoning be admitted as |
solid and satisfactory. We have said that all arguments concerning existence |
are founded on the relation of cause and effect; that our knowledge of that |
relation is derived entirely from experience; and that all our experimental |
conclusions proceed upon the supposition that the future will be conformable |
to the past. To endeavour, therefore, the proof of this last supposition by |
probable arguments, or arguments regarding existence, must be evidently |
going in a circle, and taking that for granted, which is the very point in question. |
(IV.ii) |
An example of an inductive inference employed by Hume (which can |
represent all inductive inferences) is the inference from (a) β All the bread |
I have eaten has nourished me β to (b) β The bread I am about to eat |
will nourish me. β I will refer to this example in my reconstruction of |
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