The Idea of an Exact Number: Children's Understanding of Cardinality and Equinumerosity

Running Head : THE EXACT - NUMBERS IDEA The Exact - Numbers Idea : Children ‘ s Understanding of Cardinality and Equinumerosity

Recognizing the Role of Idea and Concept in Understanding and Creation in Architecture Relying on the "Four Causes"

Today, the increasing realities that have occupied architects in other fields related to architecture, have caused the designerchr('39')s attention to deviate from the theoretical thinking that was considered at the beginning of the design process. Architectural software has expanded the visual dimensions of the human mind and created the conditions for the designerchr('39')s thinking to be lim...

Cardinality, Counting, and Equinumerosity

Frege, famously, held that there is a close connection between our concept of cardinal number and the notion of one-one correspondence, a connection enshrined in Hume’s Principle. Husserl, and later Parsons, objected that there is no such close connection, that our most primitive conception of cardinality arises from our grasp of the practice of counting. Some empirical work on children’s devel...

Complete forcing numbers of polyphenyl systems

The idea of “forcing” has long been used in many research fields, such as colorings, orientations, geodetics and dominating sets in graph theory, as well as Latin squares, block designs and Steiner systems in combinatorics (see [1] and the references therein). Recently, the forcing on perfect matchings has been attracting more researchers attention. A forcing set of M is a subset of M contained...

Total domination in cubic Knodel graphs

A subset D of vertices of a graph G is a dominating set if for each u ∈ V (G) \ D, u is adjacent to somevertex v ∈ D. The domination number, γ(G) ofG, is the minimum cardinality of a dominating set of G. A setD ⊆ V (G) is a total dominating set if for eachu ∈ V (G), u is adjacent to some vertex v ∈ D. Thetotal domination number, γt (G) of G, is theminimum cardinality of a total dominating set o...