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One might think that a valued algebraic graph is necessary to represent psycho-social reality, if it is to take into account the degree of intensity of interpersonal relationships. But in fact it then seems hardly possible to define the balance of a graph, not for mathematical but for psychological reasons. If the relationship AB is +3, the relationship BC is –4, what should the AC relationship be in order that the triangle be balanced? The psychological hypotheses are wanting, or rather they are numerous and little justified.
One might think that a valued algebraic graph is necessary to represent psycho-social reality, if it is to take into account the degree of intensity of interpersonal relationships. But in fact it then seems hardly possible to define the balance of a graph, not for mathematical but for psychological reasons. If the relationship AB is +3, the relationship BC is –4, what should the AC relationship be in order that the triangle be balanced? The psychological hypotheses are wanting, or rather they are numerous and little justified.
如果要考虑人际关系的紧张程度，人们可能会认为有必要用一个有价值的代数图来表示心理社会现实。但事实上，定义一个图表的平衡几乎不可能，不是出于数学上的原因，而是出于心理学上的原因。如果 AB 的关系是 + 3，BC 的关系是-4，那么 AC 的关系应该是什么才能使三角形平衡？心理学上的假设是匮乏的，或者更确切地说，这些假设数量众多缺乏合理性。
如果要考虑人际关系的紧张程度，人们可能会认为有必要用一个有价值的代数图来表示心理社会现实。但事实上，定义一个图表的平衡几乎不可能，不是出于数学上的原因，而是出于心理学上的原因。如果 AB 的关系是+3，BC 的关系是-4，那么 AC 的关系应该是什么才能使三角形平衡？心理学上的假设是匮乏的，或者更确切地说，这些假设数量众多缺乏合理性。
In graph theory there exists a formal balance theory that contains theorems that are analytically true. The statement that Heider's psychological balance can be represented, in its essential aspects, by a suitable interpretation of that formal balance theory should, however, be regarded as problematical. We cannot routinely identify the positive and negative lines in the formal theory with the positive and negative "sentiment relations", and identify the formal balance notion with the psychological idea of balance or structural tension. .. It is puzzling that the fine structure of the relationships between formal and psychological balance has been given scant attention by balance theorists.
In graph theory there exists a formal balance theory that contains theorems that are analytically true. The statement that Heider's psychological balance can be represented, in its essential aspects, by a suitable interpretation of that formal balance theory should, however, be regarded as problematical. We cannot routinely identify the positive and negative lines in the formal theory with the positive and negative "sentiment relations", and identify the formal balance notion with the psychological idea of balance or structural tension. .. It is puzzling that the fine structure of the relationships between formal and psychological balance has been given scant attention by balance theorists.
在图表理论中，存在着一种形式上的平衡理论。然而，关于海德尔的心理平衡可以通过对该形式平衡理论的适当解释来体现其本质方面的说法，应该是有问题的。我们不能常规地将形式理论中的正负线与正负的 "情感关系 "相区分，也不能将形式平衡概念与平衡或结构张力的心理学思想相区分......令人费解的是，形式平衡与心理平衡关系的细微结构却很少受到平衡理论家的关注。
==See also==
==See also==