Balaguer's easy-road response begins by granting premise (i) of the Quine-Putnam argument i.e., by granting (for the sake of argument) that there do exist indispensable applications of mathematics to empirical science.
The various types of biosensors such as enzyme-based, tissue-based, immunosensors, DNA biosensors, thermal and piezoelectric biosensors have been deliberated here to highlight their indispensable applications in multitudinous fields.
Tar decomposition is important and indispensable for application of biomass resource by pyrolysis and gasification.
Diarylethene derivatives-based multi-responsive molecular switches are indispensable for application to sensors for biological and materials sciences.
Perovskite oxide manganites with a general formula of R1-xAx MnO3 (where R is a trivalent rare-earth element such as La, Pr, Sm, and A is a divalent alkaline-earth element such as Ca, Sr, and Ba) have received much attention due to their unusual electron-transport and magnetic properties, which are indispensable for applications in microelectronic, magnetic, and spintronic devices.
Niobium-titanium, niobium-zirconium, and niobium-tin alloys are indispensable for the application of superconductivity in machinery, magnetically levitated trains, high-energy physics, and magnetic resonance imaging.
Caddisfly silk itself does not possess antiseptic properties and thus sterilization is indispensable for its application in medicine.
Endoscopic papillectomy is performed in selected patients with ampullary neoplasm, and, thus, accurate preoperative tumor staging is indispensable for its application.
Because the protocols developed here are indispensable for the application of 1 in peptide engineering, they would expand the utility of 1 and its derivatives.
