Preserving Empathy

Empathy.

After defining empathy, discussing its measurement, and offering an example of empathy in practice, we present the results of an updated meta-analysis of the relation between empathy and psychotherapy outcome. Results indicated that empathy is a moderately strong predictor of therapy outcome: mean weighted r = .31 (p < .001; 95% confidence interval: .28-.34), for 59 independent samples and 3599...

Empathy for the Sake of Empathy :

Defining Empathy and Its Components Empathy

In The Western Illusion of Human Nature, the anthropologist Marshall Sahlins (2008) chronicles a common idea uniting philosophers including Thucydides, Thomas Hobbes, and John Adams. According to Sahlins, these thinkers believed that social contracts are needed to restrain humans from expressing their antisocial “natural state,” under which self-interest trumps all other concerns. This view of ...

Linear maps preserving or strongly preserving majorization on matrices

For $A,Bin M_{nm},$ we say that $A$ is left matrix majorized (resp. left matrix submajorized) by $B$ and write $Aprec_{ell}B$ (resp. $Aprec_{ell s}B$), if $A=RB$ for some $ntimes n$ row stochastic (resp. row substochastic) matrix $R.$ Moreover, we define the relation $sim_{ell s} $ on $M_{nm}$ as follows: $Asim_{ell s} B$ if $Aprec_{ell s} Bprec_{ell s} A.$ This paper characterizes all linear p...

linear maps preserving or strongly preserving majorization on matrices

for $a,bin m_{nm},$ we say that $a$ is left matrix majorized (resp. left matrix submajorized) by $b$ and write $aprec_{ell}b$ (resp. $aprec_{ell s}b$), if $a=rb$ for some $ntimes n$ row stochastic (resp. row substochastic) matrix $r.$ moreover, we define the relation $sim_{ell s} $ on $m_{nm}$ as follows: $asim_{ell s} b$ if $aprec_{ell s} bprec_{ell s} a.$ this paper characterizes all linear p...