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Reduction and Elimination in Philosophy and the Sciences

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Reichenbach’s Concept of Logical Analysis of Science <strong>and</strong> his Lost<br />

Battle aga<strong>in</strong>st Kant<br />

Nikolay Milkov, Paderborn, Germany<br />

1. Reichenbach on Logical Analysis<br />

Reichenbach was ra<strong>the</strong>r negligent <strong>in</strong> both <strong>the</strong> history of<br />

philosophy <strong>and</strong> <strong>the</strong> philosophical term<strong>in</strong>ology he used. In<br />

particular, he <strong>in</strong>troduced a very idiosyncratic use of <strong>the</strong><br />

concept of “logical analysis” that has little to do with <strong>the</strong><br />

way that concept was treated by analytic philosophers like<br />

Frege or Russell. In The Rise of Scientific <strong>Philosophy</strong>, for<br />

example, Reichenbach simply set it aga<strong>in</strong>st “psychological<br />

analysis”. While psychological analysis studies <strong>the</strong> “errors”<br />

of <strong>the</strong> “speculative philosophers”, logical analysis makes a<br />

“rational reconstruction” of <strong>the</strong> scientific <strong>the</strong>ories. To be<br />

more specific, it sets out <strong>the</strong> pr<strong>in</strong>ciples on which <strong>the</strong> results<br />

of sciences are really based, <strong>and</strong> not simply <strong>the</strong> way <strong>the</strong>y<br />

were set out by <strong>the</strong>ir orig<strong>in</strong>ators. “It endeavours to clarify<br />

<strong>the</strong> mean<strong>in</strong>g of physical <strong>the</strong>ories, <strong>in</strong>dependently of <strong>the</strong><br />

<strong>in</strong>terpretation by <strong>the</strong>ir authors, <strong>and</strong> is concerned with logical<br />

relationship alone.” (Reichenbach 1949: 293) In o<strong>the</strong>r<br />

words, logical analysis <strong>in</strong>vestigates <strong>the</strong> “context of justification”,<br />

not <strong>the</strong> “context of discovery”, of this or that particular<br />

scientific <strong>the</strong>ory.<br />

Especially helpful for mak<strong>in</strong>g logical analyses of science<br />

is Hilbert’s axiomatic. In fact, Hilbert’s axiomatic<br />

br<strong>in</strong>gs with itself <strong>the</strong> whole logic with <strong>the</strong> help of which<br />

Reichenbach made his “logical analysis” of science.<br />

2. Metamorphoses of Kant’s A priori<br />

Reichenbach set out his program for logical analysis <strong>in</strong><br />

Theory of Relativity <strong>and</strong> A priori Knowledge (1920). It accepted<br />

two fundamentally different pr<strong>in</strong>ciples of knowledge:<br />

pr<strong>in</strong>ciples of coord<strong>in</strong>ation <strong>and</strong> pr<strong>in</strong>ciples of connection.<br />

Pr<strong>in</strong>ciples of connection are empirical laws <strong>in</strong> <strong>the</strong><br />

usual sense, <strong>in</strong>volv<strong>in</strong>g terms <strong>and</strong> concepts that are already<br />

well def<strong>in</strong>ed. Pr<strong>in</strong>ciples of coord<strong>in</strong>ation, <strong>in</strong> contrast, are not<br />

empirical; ra<strong>the</strong>r, <strong>the</strong>y must be first established <strong>in</strong> order to<br />

<strong>in</strong>sure such adequate empirical def<strong>in</strong>itions <strong>in</strong> <strong>the</strong> first<br />

place. In o<strong>the</strong>r words, pr<strong>in</strong>ciples of coord<strong>in</strong>ation are constitutive<br />

of <strong>the</strong> object of every particular scientific <strong>the</strong>ory. In<br />

this sense (A) <strong>the</strong>y are a priori. Of course, <strong>the</strong>se a priori<br />

pr<strong>in</strong>ciples change with every new significant <strong>the</strong>ory; <strong>the</strong>y<br />

are not given once <strong>and</strong> for all. In that sense (B), <strong>the</strong> pr<strong>in</strong>ciples<br />

of coord<strong>in</strong>ation are empirical. They are <strong>the</strong> result of<br />

new observations <strong>and</strong> exam<strong>in</strong>ations.<br />

For tak<strong>in</strong>g this position, Reichenbach was severely<br />

criticized by Moritz Schlick. The latter claimed that <strong>in</strong>stead<br />

of a priori <strong>in</strong> a Kantian sense, we can <strong>in</strong>terpret <strong>the</strong><br />

pr<strong>in</strong>ciples of coord<strong>in</strong>ation as conventions <strong>in</strong> <strong>the</strong> sense of<br />

Po<strong>in</strong>caré. Schlick’s criticism conv<strong>in</strong>ced <strong>the</strong> young<br />

Reichenbach: from 1922 onward, he adopted Po<strong>in</strong>caré’s<br />

term<strong>in</strong>ology of “convention”. More especially, <strong>in</strong>stead of<br />

pr<strong>in</strong>ciples of coord<strong>in</strong>ation he now spoke about def<strong>in</strong>itions<br />

of coord<strong>in</strong>ation, underl<strong>in</strong><strong>in</strong>g this way <strong>the</strong>ir conventional<br />

character. Unfortunately, this position totally neglected <strong>the</strong><br />

first mean<strong>in</strong>g of pr<strong>in</strong>ciples of coord<strong>in</strong>ation as be<strong>in</strong>g<br />

constitutive of <strong>the</strong> object of knowledge.<br />

Assess<strong>in</strong>g this turn <strong>in</strong> Reichenbach’s philosophy,<br />

Michael Friedman has po<strong>in</strong>ted out that Reichenbach<br />

“overhastily … acquiesces <strong>in</strong> <strong>the</strong> Schlick–Po<strong>in</strong>caré<br />

term<strong>in</strong>ology”. We fully agree with this judgment. We,<br />

224<br />

however, cannot accept Friedman’s claim that with its<br />

acceptance, “<strong>the</strong> most important element <strong>in</strong><br />

[Reichenbach’s] earlier conception of <strong>the</strong> relativized a<br />

priori is actually lost” (Friedman 1994: 26). In fact,<br />

Reichenbach never stopped believ<strong>in</strong>g that <strong>the</strong>re are<br />

pr<strong>in</strong>ciples that connect <strong>the</strong> basic concepts of scientific<br />

<strong>the</strong>ories with reality. This po<strong>in</strong>t is especially pronounced <strong>in</strong><br />

respect of <strong>the</strong> so called pr<strong>in</strong>ciple of probability.<br />

Reichenbach already <strong>in</strong>troduced it <strong>in</strong> his Dissertation<br />

(1916) <strong>and</strong> never stopped consider<strong>in</strong>g it necessary for any<br />

k<strong>in</strong>d of knowledge (cf. Kamlah 1985: 162).<br />

In this paper, however, we are go<strong>in</strong>g to track down<br />

ano<strong>the</strong>r trace of Kantian apriorism <strong>in</strong> Reichenbach’s “new<br />

philosophy”. To be more specific, we argue that<br />

Reichenbach’s program for a logical analysis of science,<br />

which was prom<strong>in</strong>ent <strong>in</strong> his works after 1920 until his death<br />

<strong>in</strong> 1951, was noth<strong>in</strong>g but a transformation of <strong>the</strong> idea that<br />

science conta<strong>in</strong>s elements that are constitutive of <strong>the</strong>ir<br />

objects. In o<strong>the</strong>r words, despite <strong>the</strong> fact that <strong>in</strong> 1920<br />

Reichenbach officially ab<strong>and</strong>oned <strong>the</strong> idea that sciences<br />

conta<strong>in</strong> a priori elements, he never<strong>the</strong>less cont<strong>in</strong>ued to<br />

explore this <strong>in</strong> <strong>the</strong> form of a logical analysis of sciences.<br />

How this can be?<br />

As well-known, Kant’s position was that we can<br />

formulate all pr<strong>in</strong>ciples that make science possible once<br />

<strong>and</strong> for all through a logical deduction from pure reason: <strong>in</strong><br />

fact, this was a task of solitary reflection. In contrast,<br />

Reichenbach believed that <strong>the</strong> def<strong>in</strong>iteness of <strong>the</strong><br />

coord<strong>in</strong>ation changes with every new scientific <strong>the</strong>ory.<br />

Fur<strong>the</strong>rmore, <strong>the</strong> very idea that every significant scientific<br />

discovery brought with itself new pr<strong>in</strong>ciples of coord<strong>in</strong>ation<br />

posed a new task for philosophy. This was to explicate <strong>the</strong><br />

new pr<strong>in</strong>ciples of coord<strong>in</strong>ation of all subsequent scientific<br />

discoveries. Among o<strong>the</strong>r th<strong>in</strong>gs, this latest task led<br />

Reichenbach to set up <strong>the</strong> Berl<strong>in</strong> Group—a society for<br />

scientific philosophy with a clear <strong>in</strong>terdiscipl<strong>in</strong>ary color<strong>in</strong>g.<br />

The Group (we shall return to it <strong>in</strong> § 4), with its most active<br />

members Kurt Grell<strong>in</strong>g, Walter Dubislav <strong>and</strong> Alex<strong>and</strong>er<br />

Herzberg, developed <strong>in</strong> a close relationship with <strong>the</strong><br />

Vienna Circle.<br />

3. Ambiguity <strong>in</strong> Reichenbach’s Program<br />

Hartmut Hecht was <strong>the</strong> first to draw our attention to <strong>the</strong> fact<br />

that Reichenbach’s critic of Kant’s a priori <strong>and</strong> <strong>the</strong> method<br />

of logical analysis of science are but two perspectives on<br />

<strong>the</strong> one problem of human knowledge (cf. Hecht 1994:<br />

221). Moreover, despite <strong>the</strong> fact that <strong>the</strong>y were different, it<br />

is impossible to conceive of <strong>the</strong>m separately.<br />

Indeed, on <strong>the</strong> one h<strong>and</strong>, Reichenbach criticized<br />

Kant’s <strong>the</strong>sis that <strong>the</strong>re is an ultimate table of <strong>the</strong><br />

categories <strong>and</strong> pr<strong>in</strong>ciples of <strong>the</strong> scientific <strong>the</strong>oretical<br />

knowledge that is given once <strong>and</strong> for all; on <strong>the</strong> o<strong>the</strong>r<br />

h<strong>and</strong>, he claimed that sciences are only possible as long<br />

as <strong>the</strong>y have coord<strong>in</strong>ation pr<strong>in</strong>ciples which are statements<br />

about <strong>the</strong> logical structure of sciences that change over<br />

time. It is exactly this way that <strong>the</strong> logical analysis of<br />

science <strong>and</strong> <strong>the</strong> criticism of <strong>the</strong> a priori made two sides of<br />

one po<strong>in</strong>t: <strong>the</strong> task now was not to criticize <strong>the</strong> pure reason

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