Death by Analogy: Identity Crises on a Roman Sarcophagus

Analogy, Identity, Equivalence

Category theory, possibly more than any other mathematical theory, has a rich philosophical significance. The reason why it has not been so far exploited by philosophers is that they know it, if at all, only superficially. In the present essay, I shall explore only one aspect of this theory, namely the way it contributes to our understanding of such concepts as: analogy, identity, equivalence. ...

Reasoning by Analogy as a Partial Identity Between Models

We present in this paper a formal theory of reasoning by analogy. We are mainly concerned with three subjects : a formal definition of analogy, a formalization of the reasoning in terms of deduction, and a method for realizing the reasoning in a logic programming system. First we assume that each domain for the reasoning is the least model for logic program. Then we consider an analogy as a par...

Identity crises and strong compactness

a study on insurer solvency by panel data model: the case of iranian insurance market

the aim of this thesis is an approach for assessing insurer’s solvency for iranian insurance companies. we use of economic data with both time series and cross-sectional variation, thus by using the panel data model will survey the insurer solvency.

A note on the Roman domatic number of a digraph

Roman dominating function} on a digraph $D$ with vertex set $V(D)$ is a labeling$fcolon V(D)to {0, 1, 2}$such that every vertex with label $0$ has an in-neighbor with label $2$. A set ${f_1,f_2,ldots,f_d}$ ofRoman dominating functions on $D$ with the property that $sum_{i=1}^d f_i(v)le 2$ for each $vin V(D)$,is called a {em Roman dominating family} (of functions) on $D$....