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perjantai 14. helmikuuta 2014

Rational philosophy or logic (1728)

I recently had the distinct displeasure of reading a rant of a would-be philosopher who disparaged a logician, because modern logical texts are like circuit diagrams – useful perhaps, but meant only for people with no literary taste and ultimately unphilosophical. Personally, I find logical texts of all sorts – whether they be ancient, modern, formal, informal, transcendental or even Hegelian – to be aesthetically pleasing in a way that a beautiful calculation or a brilliant game of chess is also: as delightful in their very existence as brightest of poems, no matter how useful they otherwise might be. And if someone complains about non-existent philosophical import of logic, I am always reminded of Hegel's clever quip about enthusiastic youth who are enamored by Plato's more vivid and lively dialogues and who later become very disappointed when they hit the abstract heights of Plato's Parmenides and its study of dry concepts like one and many. Thus, I am not afraid of the supposed dryness of next book in line, Wolff's Philosophia rationalis sive logica.

Is this all there is to logic?


As someone might remember, Wolff had already published a book on logic, the first in his famous series of reasonable thoughts. The current book, on the other hand, begins Wolff's philosophy anew, except this time in Latin. While the German series was meant mostly for domestic markets and especially his students, the publication of Latin versions of different parts of his philosophy served the purpose of making Wolff's work more known throughout Europe. Because of their more scholarly ambitions, Wolff's Latin books contain also more material than their German equivalents. Thus, while I first thought that Wolff's Latin logic would contain only about 300 pages and not be much longer than its German counterpart, I noticed quickly I had actually picked up a separately published compendium for Latin logic, containing just the table of contents for the actual book, which happened to be over 800 pages long.

Just like its German counterpart, Wolff's Latin logic contains much that would not be dealt in a logic course these days: it is more of a book of methodology. Thus, it is also meant to be the first book of Wolff's Latin philosophical works in the sense that reader should first grasp how philosophy works before actually reading some philosophy: the true first philosophy is then ontology, because all the other parts of the philosophy depend on it.

As starting points of series, both books begin with an account of what philosophy is all about. But the inflatedness of the Latin logic shows itself in the very start, with Wolff's novel discussion of three forms of cognition – well, it is actually novel only from the perspective of Wolff, because it is quite reminiscent of Bilfinger's disputation with this very topic. What is important in this beginning, is Wolff's clear commitment on empiricism: all cognition begins with a historical phase, where one can just learn facts through observation. The cognition could then develop into mathematical cognition, by quantifying the results of observation, or it could turn philosophical by attempting to find explanations for the facts (note that nothing speaks against cognition that is both philosophical and mathematical, especially if the quantification helps us to discern causal relations).

If philosophical cognition means finding explanations for observed facts, philosopher is then a person who can give such explanations – that is, an expert on some topic. Philosophy, on the other hand, is for Wolff not just any expertise. Just like in his German logic, Wolff defines philosophy as a science of what is possible. I already noted that this definition means actually just what science does: capacity to demonstrate assertions from indubitable premisses.

Whereas German logic left a rather rationalistic impression, in Latin logic Wolff admits that experiences and experiments can well give science its required premises, provided that they just are reliable. Indeed, although Wolff does equate philosophical and mathematical method, he does accept also the construction of hypotheses or reasonable, but unproved assumptions as an incentive to scientific development. Thus, completely axiomatic-deductive system is admitted to be a mere ideal that we can perhaps approach, but never completely satisfy. The ideal also instigates philosophers to remain moderately skeptical in dilemmas where none of the options can be proven indubitably.

Wolff also notes that philosophy might be cognized only historically, that is, we could just e.g. read Wolffian system and learn all its propositions. Such a historical knowledge of philosophy might be useful, but true philosophical cognition of philosophy is achieved only when we try to understand what philosophers say, for instance, by repeating the experiments described in a text book.

Just like in German logic, in Latin logic Wolff also presents a general division of philosophy. What is remarkable is that the new division is more detailed, especially as it comes to more empirical parts of Wolffian system. This no doubt reflects the fact that Wolff has now actually worked out his system in more detail and has especially realized how important empirical observations are to the development of science. In addition, Wolff also helpfully indicates how each part of his system depends on some parts and serves as a foundation for others.


I’ll be continuing for a while with my account of Latin logic, and next time I shall take a look at the difference between natural and artificial logic.

torstai 19. huhtikuuta 2012

Georg Bernhard Bilfinger: The three types of cognition – historical, philosophical and mathematical – articulated (1722)


Although my blog has been dedicated to the task of expounding the story of classic German philosophy in general, the field has been thus far ruled by Christian Wolff, with the exception of few pietists, who will become fierce enemies of Wolff. It is time to introduce a new minor figure, this time from the Wolffian side of the game: Georg Bernhard Bilfinger with his dissertation De triplicium rerum cognitione, historica, philosophica et mathematica, articulos.

I called Bilfinger a minor figure, and judging by his influence, he truly is such. The main point of importance in Bilfinger's career is that he introduced Germans to Chinese philosophy and especially to Confucianism – even in the dissertation he mentions these themes in passing.

We have already have the opportunity to familiarise ourselves with the dissertations of the time when we looked at Wolff's first publication, which combined elementary mathematics with rather strong philosophical conclusions without any clear connecting link. Bilfinger's dissertation is rather less ambitious and is mostly a discussion of the ideas of Wolff and his teacher Tschirnhaus.

The main purpose of Bilfinger's thesis is to classify and define different types of cognition or science. Bilfinger starts by determining various meanings of the term philosophy by comparing it with mathematics (well, actually he just follows his two predecessors, as he does in the whole book). When you learn mathematics, you might learn various definitions of mathematical objects. Similarly, philosophy if often restricted to mere verbal bickering, where the fight is all about the meaning of words. This is the lowest type of philosophy: although it is important to make one's meaning clear, it is not worth to start arguing for the meaning of a word.

Secondly, we could be taught who was the person who discovered some important theorems. This corresponds with merely historical study of philosophers, philosophical schools and their opinions. Beyond the verbal explanation of mathematical and philosophical terms and the historical description of mathematics and philosophers, there's still the real mathematics, and corresponding to it, real philosophy. What do these consist then?

To answer this question, Bilfinger presents another division, this time between different moments of cognition. Cognition should begin with a historical phase, where history has the traditional sense: we observe and experiment. The results of this historical phase are then to be used by philosophy as a material for discovering the first principles of cognition. These principles are then to be used finally in mathematics for deriving new truths.

The three types of cognition, historical, philosophical and mathematical, form then a sequence based on experience, but ending with a system of knowledge founded on indubitable experiences: note the balance between empiricism and rationalism that Wolff had already endorsed. If the sequence would form a cycle, we would be very close to the later hypothetico-deductive account of science, where theories are tested against observations.Yet, Bilfinger imagines that the creation of theories involves more than mere guess work, and indeed, is what real philosophy is all about.

It seems amazing, but this is the whole content of Bilfinger's dissertation: two divisions borrowed from other philosophers. Next time, we shall return to Wolff and to another set of reasonable thoughts.