Topological Interpretation of Interactive Computation

The main purpose of this paper is to show and introduce some new interpretative aspects of the concept of “emergent space” as geometric/topological approach in the cosmological field. We will present some possible applications of this theory, among which the possibility of considering a non-orientable wormhole, but mainly we provide a topological interpretation, using this new approach, to M-Theory and String Theory in 10 dimensions. Further, we present some conclusions which this new interpretation suggests, and also some remarks considering a unifying approach between strings and dark matter. The approach shown in the paper considers that reality, as it appears to us, can be the “emerging” part of a more complex hidden structure. Pacs numbers: 11.25.Yb; 11.25.-w; 02.40.Ky; 02.40.-k; 04.50.-h; 95.35.+d.

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Interactive computation is interaction with what?: A reply to Clark

Phenomenology and the Cognitive Sciences ◽

10.1007/s11097-008-9103-5 ◽

2008 ◽

Vol 7 (3) ◽

pp. 347-348

Author(s):

Evan Selinger ◽

Timothy Engström

Keyword(s):

Interactive Computation

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AN INVARIANT FOR SINGULAR KNOTS

Journal of Knot Theory and Its Ramifications ◽

10.1142/s0218216509007324 ◽

2009 ◽

Vol 18 (06) ◽

pp. 825-840 ◽

Cited By ~ 27

Author(s):

J. JUYUMAYA ◽

S. LAMBROPOULOU

Keyword(s):

Hecke Algebras ◽

Quadratic Relation ◽

Link Invariant ◽

Topological Interpretation ◽

Type Invariant ◽

Singular Link ◽

Markov Trace ◽

Skein Relation ◽

Singular Knots

In this paper we introduce a Jones-type invariant for singular knots, using a Markov trace on the Yokonuma–Hecke algebras Y d,n(u) and the theory of singular braids. The Yokonuma–Hecke algebras have a natural topological interpretation in the context of framed knots. Yet, we show that there is a homomorphism of the singular braid monoid SBn into the algebra Y d,n(u). Surprisingly, the trace does not normalize directly to yield a singular link invariant, so a condition must be imposed on the trace variables. Assuming this condition, the invariant satisfies a skein relation involving singular crossings, which arises from a quadratic relation in the algebra Y d,n(u).

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TOPOLOGY AND MODALITY: THE TOPOLOGICAL INTERPRETATION OF FIRST-ORDER MODAL LOGIC

The Review of Symbolic Logic ◽

10.1017/s1755020308080143 ◽

2008 ◽

Vol 1 (02) ◽

Cited By ~ 11

Author(s):

STEVE AWODEY ◽

KOHEI KISHIDA

Keyword(s):

Modal Logic ◽

First Order ◽

Topological Interpretation ◽

First Order Modal Logic

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Interactive Computation and Artificial Epistemologies

Theory Culture & Society ◽

10.1177/02632764211048548 ◽

2021 ◽

pp. 026327642110485

Author(s):

Luciana Parisi

Keyword(s):

Turing Machine ◽

Mathematical Formalism ◽

Symbolic Logic ◽

Formal Models ◽

Universal Turing Machine ◽

Interactive Computation

What is algorithmic thought? It is not possible to address this question without first reflecting on how the Universal Turing Machine transformed symbolic logic and brought to a halt the universality of mathematical formalism and the biocentric speciation of thought. The article draws on Sylvia Wynter’s discussion of the sociogenic principle to argue that both neurocognitive and formal models of automated cognition constitute the epistemological explanations of the origin of the human and of human sapience. Wynter’s argument will be related to Gilbert Simondon’s reflections on ‘technical mentality’ to consider how socio-techno-genic assemblages can challenge the biocentricism and the formalism of modern epistemology. This article turns to ludic logic as one possible example of techno-semiotic languages as a speculative overturning of sociogenic programming. Algorithmic rules become technique-signs coinciding not with classic formalism but with interactive localities without re-originating the universality of colonial and patriarchal cosmogony.

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