Giuliano Infantino

Sets out the guiding question of philosophical cognition of nature, the relation between logical and natural form, and the methodological place of a Naturbeweis within Hegel's encyclopaedic theory-design.

Reads Hegel's replacement thesis as a radicalisation of Kant's critical project rather than a return to pre-critical dogmatism, and argues against three families of intra-logical justification — ontological, quantificational, and referential — showing that none can secure the thesis without violating the Logic's purity demand. In their place, I defend a reading based on Hegel's distinction between a first and a second "acquaintance" with the Logic: logic empowers thought rather than disclosing a pre-established harmony with the world.

Argues that the self-knowledge in which the Logic culminates cannot be a survey of the totality of logical forms — such a survey would violate the context-sensitivity and mutual differentiation essential to the forms themselves. It must instead be methodological self-consciousness: knowledge of the procedure and form by which thought generates and overcomes its logical determinations, not knowledge of a closed set of them. Mastery of a method is categorially distinct from having all its results before one at once, and it is the former that Hegel's logical Idea achieves.

Presents Hegel's Naturbeweis: a formal proof that the existence of nature is logically necessary. The argument turns on the reciprocal existential dependence of the logical and the real: the logical cannot be what it is without a non-self-conscious domain in which its forms can be freely realised. Combined with the absolute necessity of thought established in the Logic, this yields the conclusion that nature must exist — not as a product of thought, but as a condition of its own intelligibility. Two-way modal hybrid: nature is causally groundless yet logically necessitated.

Reads Hegel's philosophy of nature between the horns of a dilemma: a posteriori readings abandon the claim to pure cognition of nature, while traditional a priori readings are forced into a conceptual realism on which nature already has logical form. I argue that both collapse, and develop the emancipatory a priori as a third option: the apriority of natural philosophy lies not in a presuppositionless beginning but in a specific transformative and liberating movement of thought, through which nature — which in itself has no conceptual form — is translated into logical form. This preserves the genuine a priori character of the project without committing to conceptual realism.

Characterises nature philosophically as a continuous, non-denumerable manifold — the Naturkontinuum — that is not a point-manifold, and shows how this conception accommodates genuine contingency, a non-conceptual realism, and the hybrid nature of real contradictions. Nature so conceived makes room for violations of PNC, PII, and PSR without collapsing into unintelligibility.

Develops the basic concepts of Hegel's mechanics from the conception of nature established in § 5: from space to time, through place to motion, and onwards to the inhomogeneous matter-field, inertia, and gravitation. The aim is to show that the fundamental notions of classical mechanics can be derived philosophically from the logical transformation of the natural continuum.