KG Systems

Three negations within one formal structure.

Plato in a collage with a book, computer and olive tree

The KG Systems are a family of non-classical logics developed to study classical negation (¬c), paraconsistent negation (¬p) and paracomplete negation (¬q) within a single formal framework. KGp incorporates paraconsistent double-negation elimination; KGq incorporates paracomplete double-negation introduction; and KGc combines both conditions.

These systems enable an integrated examination of contradiction, contrariety, subcontrariety and subalternation, while providing their own semantics and proof methods.

Current directions

Two lines of inquiry and their connections

01

Philosophy

Metaphysical, conceptual and educational questions examined in direct dialogue with the tools of logic.

  • Metaphysics
  • Philosophy of Logic
  • Philosophy of Education
02

Logic

Construction and analysis of formal structures capable of representing different ways of negating and reasoning.

  • Non-Classical Systems
  • Negations
  • Philosophical Logics

Projects

Research in perspective

Three stages of an ongoing programme.

01

Postdoctoral research

Studies on Non-Classical Modal Logics

Development of modal extensions of the KG Systems that accommodate classical, paraconsistent and paracomplete negations simultaneously without trivialization.

Institution
UFRJ · PPGF
Supervision
Supervisor: Jean-Yves Béziau
Funding
FAPERJ · Pós-Doutorado Nota 10 fellowship
02

PhD

Three Times No

A study of classical, paraconsistent and paracomplete negations through four formal systems — the KG Systems — with semantics, analytic tableaux and first-order extensions.

Institution
UFSC · PPGFIL
Supervision
Supervisor: Décio Krause · Co-supervisor: Newton C. A. da Costa
Funding
CAPES · Demanda Social scholarship programme
View in repository ↗
03

Master’s degree

Is Identity Fundamental?

A philosophical investigation of identity, indiscernibility and conceptual systems, connecting metaphysical problems with the tools of logic.

Institution
UFSC · PPGFIL
Supervision
Supervisor: Décio Krause
Funding
CAPES · Demanda Social scholarship programme
View in repository ↗

Collaboration

Research groups