首页> 外文会议>International conference on diagrammatic representation and inference >Iconic Logic and Ideal Diagrams: The Wittgensteinian Approach
【24h】

Iconic Logic and Ideal Diagrams: The Wittgensteinian Approach

机译:标志性逻辑和理想图:维特根斯坦方法

获取原文

摘要

This paper provides a programmatic overview of a conception of iconic logic from a Wittgensteinian point of view (WIL for short). The crucial differences between WIL and a standard version of symbolic logic (SSL) are identified and discussed. WIL differs from other versions of logic in that in WIL, logical forms are identified by means of so-called ideal diagrams. A logical proof consists of an equivalence transformation of formulas into ideal diagrams, from which logical forms can be read off directly. Logical forms specify properties that identify sets of models (conditions of truth) and sets of counter-models (conditions of falsehood). In this way, WIL allows the sets of models and counter-models to be described by finite means. Against this background, the question of the decidability of first-order-logic (FOL) is revisited. In the last section, WIL is contrasted with Peirce's iconic logic (PIL).
机译:本文从维特根斯坦主义的观点(简称WIL)的角度提供了图标逻辑概念的程序概述。确定并讨论了WIL和标准版本的符号逻辑(SSL)之间的关键区别。 WIL与其他逻辑版本的不同之处在于,在WIL中,逻辑形式是通过所谓的理想图来标识的。逻辑证明包括将公式等效转换为理想图,然后可以从中直接读取逻辑形式。逻辑形式指定标识模型集(事实条件)和反模型集(虚假条件)的属性。这样,WIL允许通过有限的方式描述模型集和反模型。在这种背景下,重新讨论了一阶逻辑(FOL)的可判定性问题。在最后一部分中,将WIL与Peirce的标志性逻辑(PIL)进行了对比。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号