Search results for " axioms"

The Foundations of Projective Geometry in Italy from De Paolis to Pieri

2002

In this paper we examine the contributions of the Italian geometrical school to the Foundations of Projective Geometry. Starting from De Paolis' work we discuss some papers by Segre, Peano, Veronese, Fano and Pieri. In particular we try to show how a totally abstract and general point of view was clearly adopted by the Italian scholars many years before the publication of Hilbert's Grundlagen. We are particularly interested in the interrelations between the Italian and the German schools (mainly the influence of Staudt's and Klein's works). We try also to understand the reason of the steady decline of the Italian school during the twentieth century.

Do as the Romans do: On the authoritarian roots of pseudoscience

2020

Recent research highlights the implications of group dynamics in the acceptance and promotion of misconceptions, particularly in relation to the identity-protective attitudes that boost polarisation over scientific information. In this study, we successfully test a mediational model between right-wing authoritarianism and pseudoscientific beliefs. First, we carry out a comprehensive literature review on the socio-political background of pseudoscientific beliefs. Second, we conduct two studies (n=1189 and n=1097) to confirm our working hypotheses: H1 – intercorrelation between pseudoscientific beliefs, authoritarianism and three axioms (reward for application, religiosity and fate control); …

The forgotten mathematical legacy of Peano

2019

International audience; The formulations that Peano gave to many mathematical notions at the end of the 19th century were so perfect and modern that they have become standard today. A formal language of logic that he created, enabled him to perceive mathematics with great precision and depth. He described mathematics axiomatically basing the reasoning exclusively on logical and set-theoretical primitive terms and properties, which was revolutionary at that time. Yet, numerous Peano’s contributions remain either unremembered or underestimated.

Culture-level dimensions of social axioms and their correlates across 41 cultures

2004

Leung and colleagues have revealed a five-dimensional structure of social axioms across individuals from five cultural groups. The present research was designed to reveal the culture level factor structure of social axioms and its correlates across 41 nations. An ecological factor analysis on the 60 items of the Social Axioms Survey extracted two factors: Dynamic Externality correlates with value measures tapping collectivism, hierarchy, and conservatism and with national indices indicative of lower social development. Societal Cynicism is less strongly and broadly correlated with previous values measures or other national indices and seems to define a novel cultural syndrome. Its national …

On continua whose hyperspace of subcontinua is σ-locally connected

1999

Abstract We provide a structural characterization of all continua X whose hyperspace C ( X ) of all subcontinua is the countable union of Peano continua. Applying this result we prove that there exists a uniformly path connected continuum X with no continuous mapping from C ( X ) onto X.

How Much Should we Care about Consecutive Spells of Poverty? Proposal of a New Index

2009

Is cross-sectional poverty a reflection of real economic and social disadvantage? Does total number of years spent in poverty provide sufficient information about poverty severity? Recent studies show that in some countries there are good reasons to believe that it is not (see, among others, Mendola et al., 2009). Traditional measures of poverty persistence, such as ‘poverty rate’ (i.e. the number of years spent in poverty upon total number of observations) or the ‘persistent-risk-ofpoverty rate’, do not devote enough attention to the sequence of poverty spells. In particular they are not good enough in underlining different effects associated to occasional single spells of poverty and cons…

The Kuratowski convergence and connected components

2012

International audience; We investigate the Kuratowski convergence of the connected components of the sections of a definable set applying the result obtained to semialgebraic approximation of subanalytic sets. We are led to some considerations concerning the connectedness of the limit set in general. We discuss also the behaviour of the dimension of converging sections and prove some general facts about the Kuratowski convergence in tame geometry.

Frege, Peano and Russell on Descriptions: a Comparison

2000

Two Paths to Logical Consequence: Pieri and the Peano School

2021

This chapter1 has two main goals. First, it will explore the “negative” avenue leading from the concepts of independence and consistency to that of logical consequence.