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Heidegger's phenomenology of guilt, and here he is close to Nietzsche in On the Genealogy of Morals, claims to uncover the deep structure of ethical selfhood which cannot be defined by morality, since morality already presupposes it.
But typically every physical theory T requires some new concepts which cannot be defined without using T (we call the latter "T-theoretical concepts").
For the ante rem structuralist, the notion of structure is a primitive concept, which cannot be defined in other more basic terms.
It is a subset of the CML Schema with some additional rules for a specific chemistry domain, some of which cannot be defined using XSD.
The Doppler effect is a dynamic process, which cannot be defined by taking motion to be a series of static source positions, and this effect is robust whatever the system of spatialization uses, including fixed mono speaker diffusion processes.
Mathematical theories such as set theory seem to require some non-logical concepts (such as set membership) which cannot be defined in terms of logical concepts, at least when axiomatized by certain powerful non-logical axioms (such as the proper axioms of Zermelo-Fraenkel set theory).
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The restriction to ordered structures in its formulation is essential in the sense that there are simply describable languages in \ \textbf{P}\) – e.g. – which cannot be define over \ \textsf{FO}(\texttt{LFP})\) without using \(\leq\).
The restriction to ordered structures in its formulation is essential in the sense that there are simply describable languages in \ \textbf{P}\) – e.g. \[ \sc{PARITY} = \{w \in \{0,1\}^* : w \text{ contains an odd number of 1s} \ \] – which cannot be define over \(\textsf{FO}(\]exttt{LFP})\) whichut using \(\leq\).
Hence ESO, and thereby IFL, is capable of explicitly defining its own truth-predicate relative to N.[58] This result does not contradict Tarski's undefinability result, because here non-determined sentences are possible; the negation used is not contradictory negation.[59] Tarski (1983) adopted a view accoding to which truth cannot be defined for natural languages.
The deep uncertainties, i.e. the variability for which a likelihood cannot be defined, are beginning to be integrated in the decision making process as a few robust decision making procedures have been proposed.
The following steps were performed: download of protein sequences of genes annotated on each of the following complete N. meningitidis genomes, spanning different serogroups: FAM18 (NC_008767) and 053442 (NC_010120) from serogroup C, Z2491 (NC_003116) from serogroup A, MC58 (NC_003112) from serogroup B and the capsule null strain alpha14 (NC_013016), for which the serogroup cannot be defined.
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which cannot be described
which cannot be outlined
which cannot be differentiated
which cannot be measured
which cannot be amended
which cannot be repaired
which cannot be fixed
which cannot be realised
which cannot be sold
which cannot be replaced
which cannot be skipped
which cannot be separated
which cannot be tolerated
which cannot be bought
which cannot be outsourced
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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