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- Publications
- Influence

Quantum non-objectivity from performativity of quantum phenomena

- A. Khrennikov, A. Schumann
- Physics, Mathematics
- 4 April 2014

We analyze the logical foundations of quantum mechanics (QM) by stressing non-objectivity of quantum observables, which is a consequence of the absence of logical atoms in QM. We argue that the… Expand

Non-Archimedean fuzzy and probability logic

- A. Schumann
- Computer Science, Mathematics
- J. Appl. Non Class. Logics
- 1 January 2008

In this paper the non-Archimedean multiple-validity is proposed for basic fuzzy logic BL∀∞ that is built as an ω-order extension of the logic BL∀. Probabilities are defined on the class of fuzzy… Expand

On Two Squares of Opposition: the Leśniewski’s Style Formalization of Synthetic Propositions

- A. Schumann
- Mathematics
- 1 March 2013

In the paper we build up the ontology of Leśniewski’s type for formalizing synthetic propositions. We claim that for these propositions an unconventional square of opposition holds, where a, i are… Expand

East-West paths to unconventional computing.

- A. Adamatzky, S. Akl, +17 authors Hector Zenil
- Medicine, Computer Science
- Progress in biophysics and molecular biology
- 14 August 2017

Unconventional computing is about breaking boundaries in thinking, acting and computing. Typical topics of this non-typical field include, but are not limited to physics of computation, non-classical… Expand

Non-well-Founded Probabilities on Streams

- A. Schumann
- Computer Science
- SMPS
- 2008

In the paper we propose non-well-founded probabilities as a kind of fuzzy ones. They are defined on the set of streams. We also show that the set of p-adic numbers can be understood as a set of… Expand

PHYSARUM SPATIAL LOGIC

- A. Schumann, A. Adamatzky
- Computer Science
- 21 November 2011

Plasmodium of Physarum polycephalum is a large single cell capable for distributed sensing, information processing, decentralized decision-making and collective action. In the paper, we interpret… Expand

Physarum Chip Project: Growing Computers From Slime Mould

- A. Adamatzky, V. Erokhin, M. Grube, T. Schubert, A. Schumann
- Mathematics, Computer Science
- Int. J. Unconv. Comput.
- 2012

Research in unconventional, or nature-inspired, computing aims to uncover novel principles of efficient information processing and computation in physical, chemical and biological systems, to develop… Expand

Towards an Object-Oriented Programming Language for Physarum Polycephalum Computing

- A. Schumann, K. Pancerz
- Computer Science
- CS&P
- 1 April 2014

Our research is focused on creation of a new object-oriented programming language for Physarum polycephalum computing. Physarum polycephalum is a one-cell organism that can be used for developing a… Expand

Bio-Inspired Game Theory: The Case of Physarum Polycephalum

- A. Schumann, K. Pancerz, A. Adamatzky, M. Grube
- Mathematics, Computer Science
- BICT
- 1 December 2014

In this paper, first, we show that the true slime mould (plasmodial stage of Physarum polycephalum) is a natural transition system which can be considered a biological model for concurrent games,… Expand