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But this is what we argued above to be impossible; hence there could be no pair of expressions like e and e*, and content must determine reference for subsentential expressions as well as sentences.
So if there could be a pair of expressions like e and e*, which differ in their reference but not in their content, there could be a pair of sentences which have the same content which express the same proposition but differ in truth-value.
But such a pair of sentences could differ in truth-value, since, for any pair of expressions which differ in reference, there is some pair of sentences which differ only by the substitution of those expressions and differ in truth-value.
Whenever a particular pair of expressions for B and E conform to the laws of electrodynamics, switching the two expressions around and adding a minus sign to the new B is also valid.
Similar(56)
The closest pair of expression values of 2909 differentially expressed genes was grouped together.
We also performed hierarchical gene cluster analyses and searched for the closest pair of expression values of 3246 differentially expressed genes that grouped together.
We utilized a pair of expression vectors developed for accelerated screening of monoclonal antibody producing cell lines by fluorescence-activated cell sorting (FACS) [44].
To examine changes in expression of each gene in the genome (from 0 h to 72 h post induction), we calculated the difference in expression level of each pair of expression statistics (IT – ET, B72 – ET, and B72 – IT).
If the expressions formed an orthogonal set, then the correlation matrix should be the identity matrix, with correlations (x, y) = 0 for each pair of expression, and (x, x) = 1 on the diagonal, for the correlation of each expression with itself.
For each pair of expression measurements, color intensity and circle fill level are proportional to the absolute value of the corresponding correlation.
The percentages (sixth column) are the relative frequencies (from the gene counts in the fifth column) for each pair of expression domains.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com