Davi Heckert César Bastos

I defend an interpretation of Aristotle’s _Posterior Analytics _Book I which distinguishes between two projects in different passages of that work: to explain what a given science is and to explain what properly scientific knowledge is. I present Aristotle’s theory in answer to ii, with special attention to his definition of scientific knowledge in 71b9-12 and showing how this is developed on chapters 1.2-9 and 1.13 into a solid Theory of Scientific Demonstration. The main point of this theory is that demonstrations need to capture relevant explanations. Some formal requirements of the demonstration are unfoldings of the main project, 1.e., to capture and present properly relevant causal-explanatory relations.

Through detailed analysis of Plato’s Meno, I identify and set general argumentative rules (useful both to scientists and philosophers) concerning how to use definitions. I show how the character Socrates establishes strong requirements for knowledge in general, i.e., that the knowledge of the definition of a thing must be prior to the knowledge of properties or instances of that thing. Socrate’s requirements and the way he characterizes a definition (as coextensive to the definiendum, not circular, true and explanatorily relevant) lead Meno to aporia and to enunciate the famous Meno’s Paradox concerning the impossibility of inquiry for knowledge. That only occurs because Meno is unable to identify Socrate’s dialectical move: strong requirements for knowing a definition, the priority of the knowledge of the definition and the taking of all knowledge to be like the knowledge by acquaintance. After the paradox, Socrate’s proceeds the discussion using hypotheses to map the truth conditions of some theses Meno is inquiring about. I explain what are Meno’s paradox, the socratic definition and the Method of Hypotheses, in a way só as to find in this classical text in the history of philosophy general principles of argumentation that are still usefull today.

I defend an interpretation of Aristotle’s Posterior Analytics Book I which distinguishes between two projects in different passages of that work: (i) to explain what a given science is and (ii) to explain what properly scientific knowledge is. I present Aristotle’s theory in answer to ii, with special attention to his definition of scientific knowledge in 71b9-12 and showing how this is developed on chapters I.2-9 and I.13 into a solid Theory of Scientific Demonstration. The main point of this theory is that demonstrations need to capture relevant explanations. Some formal requirements of the demonstration (as the syllogistic structure and coextension between terms) are unfoldings of the main project, i.e., to capture and present properly relevant causal-explanatory relations.

I present Aristotle’s theory of causation in a way that privileges a comparison with contemporary discussion on causation. I do so by selecting in Aristotle’s theory points that are interesting to contemporary discussion and by translating Aristotle in the contemporary philosophical terminology. I compare Aristotle’s views with Mackie’s (1993/1965) and Sosa’s (1993/1980). Mackie is a humean regularist regarding the metaphysics of causal necessity, but his theory postulates some formal aspects of the causal relation which are similar to the Aristotelian theory. By introducing the notion of causal field as a third causal relatum – a sample in which the cause must be picked out as a explanation coextensive to the effect –, Mackie holds a point very similar to Aristotle, inasmuch as both defend that the causal relation is triadic and both have the extensional desideratum. Sosa (1993/1980) defends that every cause necessitates its effect, arguing against classical Humeanism, and he also proposes a causal pluralism. Both these theses are clearly Aristotelian. Aristotle comprehends that the causal relation has three relata: a subjacent C, a property of that subjacent A and a cause B that explains why such property is attributed to that subjacent. The subjacent is similar to Mackie’s notion of causal field, for in regard to it the cause must be coextensive to the property. But Aristotle also says that for each explanandum (property attributed to a subjacent of which one aims to investigate a cause) there is only one cause, which necessitates it. Sosa and Aristotle are similar because both develop a causal pluralism from a theory of causes as having intrinsic necessitation. For Aristotle, causes/explanations [aitiai] are central for attaining scientific knowledge, and its triadic structure determines the syllogistic structure of scientific demonstrations. Aristotle’s theory of causation also involves comprehending the actualisation of capacities (dispositional properties of objects) affirming that the causal relation is resultant from intrinsic properties of the objects, and the cause B is the essence of the explanandum.