I focused on the 'interesting' bit of the style: The author+number citation and rough bibliography layout. The remaining tweaks should be doable with a bit of research on this site.
If we base our style on biblatex-philosophy's philosophy-modern we only need to make sure that citations are not 'author year', but 'author number' instead.
I can't think of a simple way to do that at the moment (feature request is out: https://github.com/plk/biblatex/issues/718), so I came up with the following. We pretend that we use an alphabetic style that uses only the author names in its label. Normally style=alphabetic uses only bits of the author name and the year (e.g. SR98, Knu84). If a label is ambiguous, Biber calculates an extraalpha value (e.g. Knu86a, Knu86b). Since our labels are the names only, extraalpha would get us 'Nussbaum' (if there is no other work by 'Nussbaum') and 'Knutha', 'Knuthb'. That extraalpha is almost our number: If there is no extraalpha ('Nussbaum') we take 1, otherwise extraalpha is what we go with.
\documentclass[british]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{babel}
\usepackage{csquotes}
\usepackage[style=philosophy-modern, backend=biber, labelalpha, giveninits, uniquename=init, mergedate=false, volnumformat=plain]{biblatex}
\addbibresource{biblatex-examples.bib}
\DeclareLabelalphaTemplate{
\labelelement{
\field[final]{shorthand}
\field{label}
\field{labelname}
}
}
\renewbibmacro*{relateddate}{%
\setunit*{\addspace}%
\printtext[parens]{\printdate}}
\renewbibmacro*{commarelateddate}{\usebibmacro{relateddate}}
\DeclareFieldFormat{extraalpha}{\mkbibbrackets{#1}}
\renewbibmacro{date+extradate}{%
\postsepyear{%
\usebibmacro{extralabel}}}
\newbibmacro{extralabel}{%
\iffieldundef{extraalpha}
{\printtext[extraalpha]{1}}
{\printfield{extraalpha}}}
\newbibmacro{cite:extralabel}{%
\printtext[bibhyperref]{\usebibmacro{extralabel}}}
\makeatletter
\renewbibmacro*{cite:AY:noshorthand}{%
\ifthenelse{\ifnameundef{labelname}\OR\iffieldundef{labelyear}}
{\usebibmacro{cite:label}%
\usebibmacro{cite:reinit}}
{\iffieldequals{namehash}{\cbx@lasthash}
{\setunit{\addcomma\space}%
\usebibmacro{cite:extralabel}}
{\printnames{labelname}%
\setunit{\addspace}%
\usebibmacro{cite:extralabel}%
\savefield{namehash}{\cbx@lasthash}}}}
\makeatother
\DeclareNameAlias{sortname}{given-family}
\AtBeginBibliography{\renewcommand*{\mkbibnamefamily}{\textsc}}
\DeclareFieldFormat*{title}{\mkbibemph{#1}}
\DeclareFieldFormat*{journaltitle}{#1}
\DeclareFieldFormat[article,periodical]{volume}{\mkbibbold{#1}}
\begin{document}
\cite{sigfridsson,worman,knuth:ct:a,knuth:ct:b}
\printbibliography
\end{document}

biblatex 3.12 features a new extraname counter that we can use here instead of the hack with extraalpha. Simply replace extraalpha with extraname in the code above and drop \DeclareLabelalphaTemplate and the labelalpha option.
\documentclass[british]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{babel}
\usepackage{csquotes}
\usepackage[style=philosophy-modern, backend=biber, giveninits, uniquename=init, mergedate=false, volnumformat=plain]{biblatex}
\addbibresource{biblatex-examples.bib}
\renewbibmacro*{relateddate}{%
\setunit*{\addspace}%
\printtext[parens]{\printdate}}
\renewbibmacro*{commarelateddate}{\usebibmacro{relateddate}}
\renewbibmacro{date+extradate}{%
\postsepyear{%
\usebibmacro{extralabel}}}
\DeclareFieldFormat{extraname}{\mkbibbrackets{#1}}
\newbibmacro{extralabel}{%
\iffieldundef{extraname}
{\printtext[extraname]{1}}
{\printfield{extraname}}}
\newbibmacro{cite:extralabel}{%
\printtext[bibhyperref]{\usebibmacro{extralabel}}}
\makeatletter
\renewbibmacro*{cite:AY:noshorthand}{%
\ifthenelse{\ifnameundef{labelname}\OR\iffieldundef{labelyear}}
{\usebibmacro{cite:label}%
\usebibmacro{cite:reinit}}
{\iffieldequals{namehash}{\cbx@lasthash}
{\setunit{\addcomma\space}%
\usebibmacro{cite:extralabel}}
{\printnames{labelname}%
\setunit{\addspace}%
\usebibmacro{cite:extralabel}%
\savefield{namehash}{\cbx@lasthash}}}}
\makeatother
\DeclareNameAlias{sortname}{given-family}
\AtBeginBibliography{\renewcommand*{\mkbibnamefamily}{\textsc}}
\DeclareFieldFormat*{title}{\mkbibemph{#1}}
\DeclareFieldFormat*{journaltitle}{#1}
\DeclareFieldFormat[article,periodical]{volume}{\mkbibbold{#1}}
\begin{document}
\cite{sigfridsson,worman,knuth:ct:a,knuth:ct:b}
\printbibliography
\end{document}
The output is the same.
\bibliography{bib_data_base}is notbiblatexwith which you tagged your question and which you included in the title... If this is indeed a requirement, please retag and edit the title. – gusbrs Feb 20 '18 at 22:30packagesisolated in another file, so when I've looked the main document I've only seen the\bibliography{bib_data_base}command. I'm going to delete that part. I mean thebibtex, i. e.file.bib+file.bst. – Dog_69 Feb 20 '18 at 22:41biblatexat all, as it seems.\bibliography{bib_data_base}would be appropriate forbibtexwithstyle.bst. So I was not asking you to reformulate your question, but simply to substitutebiblatexin your tags and in your title forbibtexso that people are not mislead by them. – gusbrs Feb 20 '18 at 22:46bibtexall the time, I didn't realize I had writtenbiblatex. My apologies. I'll change the tag inmediately. – Dog_69 Feb 20 '18 at 22:48bibtexlikes my question... :( – Dog_69 Feb 24 '18 at 19:06biblatex-philosophy'sphilosophy-modernstyle looks very, very remotely like this (if you squint really hard and close one one completely). It's quite different, but it shows that something like this is not entirely impossible. The biggest problem with a style like this is that it is so very unusual. People know and can deal with author-year citations and they know numeric citation styles. They even know numeric citation styles that add the author. But the fact that the number resets for each author is definitely unusual at first. – moewe Feb 24 '18 at 19:33.bstmethods. At best some of thebiblatexfolk might be willing to try abiblatexsolution, but if that's not acceptable to you, then you should tell us, because the style has very little practical use other than recreating this particular text. – Alan Munn Feb 26 '18 at 18:06bibtex,biblatex, an extrapackage... – Dog_69 Feb 26 '18 at 18:53philosophy-modernwhich is the same as the style Sam linked to. So I don't think there's much to be gained from adding that code here. The issue of sub-numbering the items per author is the main one, and anyone who's reading this by now understands that. – Alan Munn Feb 27 '18 at 02:17